Sum rules (quantum field theory) (English Wikipedia)

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aps.org

journals.aps.org

Bjorken, J. D. (1966). "Applications of the Chiral 𝑈⁡(6)⊗𝑈⁡(6) Algebra of Current Densities". Physical Review. 148 (4): 1467–1478. doi:10.1103/PhysRev.148.1467.
Ellis, John; Jaffe, Robert (1974). "Sum rule for deep-inelastic electroproduction from polarized protons". Physical Review D. 9 (5): 1444–1446. Bibcode:1974PhRvD...9.1444E. doi:10.1103/PhysRevD.9.1444.
Drell, S. D.; Hearn, A. C. (1966). "Exact Sum Rule for Nucleon Magnetic Moments". Physical Review Letters. 16 (20): 908–911. Bibcode:1966PhRvL..16..908D. doi:10.1103/PhysRevLett.16.908. OSTI 1444298.

link.aps.org

Adler, Stephen L. (1966). "Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions". Physical Review. 143 (4): 1144–1155. Bibcode:1966PhRv..143.1144A. doi:10.1103/PhysRev.143.1144.

arxiv.org

Pasquini, Barbara; Vanderhaeghen, Marc (2018). "Dispersion Theory in Electromagnetic Interactions". Annual Review of Nuclear and Particle Science. 68: 75–103. arXiv:1805.10482. Bibcode:2018ARNPS..68...75P. doi:10.1146/annurev-nucl-101917-020843.
Deur, Alexandre; Brodsky, Stanley J.; De Téramond, Guy F. (2019). "The spin structure of the nucleon". Reports on Progress in Physics. 82 (7). arXiv:1807.05250. Bibcode:2019RPPh...82g6201D. doi:10.1088/1361-6633/ab0b8f. PMID 30818290.
Holstein, Barry R.; Scherer, Stefan (2014). "Hadron Polarizabilities". Annual Review of Nuclear and Particle Science. 64 (1): 51–81. arXiv:1401.0140. Bibcode:2014ARNPS..64...51H. doi:10.1146/annurev-nucl-102313-025555.
Broadhurst, D. J.; Kataev, A. L. (2002). "Bjorken unpolarized and polarized sum rules: Comparative analysis of large N(F) expansions". Phys. Lett. B. 544 (1–2): 154–160. arXiv:hep-ph/0207261. Bibcode:2002PhLB..544..154B. doi:10.1016/S0370-2693(02)02478-4. S2CID 17436687.
Guichon, P.A.M.; Liu, G.Q.; Thomas, A.W. (1995). "Virtual compton scattering and generalized polarizabilities of the proton". Nuclear Physics A. 591 (4): 606–638. arXiv:nucl-th/9605031. Bibcode:1995NuPhA.591..606G. doi:10.1016/0375-9474(95)00217-O.
Efremov, A. V.; Teryaev, O. V.; Leader, Elliot (1997). "Exact sum rule for transversely polarized DIS". Physical Review D. 55 (7): 4307–4314. arXiv:hep-ph/9607217. Bibcode:1997PhRvD..55.4307E. doi:10.1103/PhysRevD.55.4307.
Arneodo, M; et, al. (1997). "Accurate measurement of F2d/F2p and Rd-Rp". Nuclear Physics B. 487 (3): 3–26. arXiv:hep-ex/9611022. doi:10.1016/S0550-3213(96)00673-6.
Kim, J. H.; et, al. (1998). "A Measurement of alpha(s)(Q**2) from the Gross-Llewellyn Smith sum rule". Phys. Rev. Lett. 81: 3595–3598. arXiv:hep-ex/9808015. doi:10.1103/PhysRevLett.81.3595.
Ji, Xiangdong (1997-01-27). "Gauge-Invariant Decomposition of Nucleon Spin". Physical Review Letters. 78 (4): 610–613. arXiv:hep-ph/9603249. Bibcode:1997PhRvL..78..610J. doi:10.1103/PhysRevLett.78.610. S2CID 15573151.
Ji, X. D. (1995). "QCD Analysis of the Mass Structure of the Nucleon". Physical Review Letters. 74 (6): 1071–1074. arXiv:hep-ph/9410274. Bibcode:1995PhRvL..74.1071J. doi:10.1103/PhysRevLett.74.1071. PMID 10058927.
Ji, X. D. (1995). "Breakup of hadron masses and the energy-momentum tensor of QCD". Physical Review D. 52 (1): 271–281. arXiv:hep-ph/9502213. Bibcode:1995PhRvD..52..271J. doi:10.1103/PhysRevD.52.271. PMID 10019040.
Sulkosky, V.; et, al. (2021). "Measurement of the generalized spin polarizabilities of the neutron in the low-Q2 region". Nature Physics. 17 (6): 687-692. arXiv:2103.03333. doi:10.1038/s41567-021-01245-9.

doi.org

Pasquini, Barbara; Vanderhaeghen, Marc (2018). "Dispersion Theory in Electromagnetic Interactions". Annual Review of Nuclear and Particle Science. 68: 75–103. arXiv:1805.10482. Bibcode:2018ARNPS..68...75P. doi:10.1146/annurev-nucl-101917-020843.
Deur, Alexandre; Brodsky, Stanley J.; De Téramond, Guy F. (2019). "The spin structure of the nucleon". Reports on Progress in Physics. 82 (7). arXiv:1807.05250. Bibcode:2019RPPh...82g6201D. doi:10.1088/1361-6633/ab0b8f. PMID 30818290.
Adler, Stephen L. (1966). "Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions". Physical Review. 143 (4): 1144–1155. Bibcode:1966PhRv..143.1144A. doi:10.1103/PhysRev.143.1144.
Baldin, A. M. (1960). "Polarizability of nucleons". Nuclear Physics. 18: 310–317. Bibcode:1960NucPh..18..310B. doi:10.1016/0029-5582(60)90408-9.
Holstein, Barry R.; Scherer, Stefan (2014). "Hadron Polarizabilities". Annual Review of Nuclear and Particle Science. 64 (1): 51–81. arXiv:1401.0140. Bibcode:2014ARNPS..64...51H. doi:10.1146/annurev-nucl-102313-025555.
Bjorken, J. D. (1966). "Applications of the Chiral 𝑈⁡(6)⊗𝑈⁡(6) Algebra of Current Densities". Physical Review. 148 (4): 1467–1478. doi:10.1103/PhysRev.148.1467.
Broadhurst, D. J.; Kataev, A. L. (2002). "Bjorken unpolarized and polarized sum rules: Comparative analysis of large N(F) expansions". Phys. Lett. B. 544 (1–2): 154–160. arXiv:hep-ph/0207261. Bibcode:2002PhLB..544..154B. doi:10.1016/S0370-2693(02)02478-4. S2CID 17436687.
Burkhardt, Hugh; Cottingham, W.N (1970). "Sum rules for forward virtual compton scattering". Annals of Physics. 56 (2): 453–463. Bibcode:1970AnPhy..56..453B. doi:10.1016/0003-4916(70)90025-4.
Guichon, P.A.M.; Liu, G.Q.; Thomas, A.W. (1995). "Virtual compton scattering and generalized polarizabilities of the proton". Nuclear Physics A. 591 (4): 606–638. arXiv:nucl-th/9605031. Bibcode:1995NuPhA.591..606G. doi:10.1016/0375-9474(95)00217-O.
Efremov, A. V.; Teryaev, O. V.; Leader, Elliot (1997). "Exact sum rule for transversely polarized DIS". Physical Review D. 55 (7): 4307–4314. arXiv:hep-ph/9607217. Bibcode:1997PhRvD..55.4307E. doi:10.1103/PhysRevD.55.4307.
Ellis, John; Jaffe, Robert (1974). "Sum rule for deep-inelastic electroproduction from polarized protons". Physical Review D. 9 (5): 1444–1446. Bibcode:1974PhRvD...9.1444E. doi:10.1103/PhysRevD.9.1444.
Fubini, S.; Furlan, G.; Rossetti, C. (1965). "A dispersion theory of symmetry breaking". Il Nuovo Cimento A. 40 (4): 1171–1193. Bibcode:1965NCimA..40.1171F. doi:10.1007/BF02824674.
Drell, S. D.; Hearn, A. C. (1966). "Exact Sum Rule for Nucleon Magnetic Moments". Physical Review Letters. 16 (20): 908–911. Bibcode:1966PhRvL..16..908D. doi:10.1103/PhysRevLett.16.908. OSTI 1444298.
Hosoda, Masataka; Yamamoto, Kunio (1966). "Sum Rule for the Magnetic Moment of the Dirac Particle". Progress of Theoretical Physics. 36 (2): 425–426. Bibcode:1966PThPh..36..425H. doi:10.1143/PTP.36.425.
Gottfried, Kurt (1967). "Sum Rule for High-Energy Electron-Proton Scattering". Physical Review Letters. 18 (25): 1174–1177. Bibcode:1967PhRvL..18.1174G. doi:10.1103/PhysRevLett.18.1174.
Arneodo, M; et, al. (1997). "Accurate measurement of F2d/F2p and Rd-Rp". Nuclear Physics B. 487 (3): 3–26. arXiv:hep-ex/9611022. doi:10.1016/S0550-3213(96)00673-6.
Gross, David J.; Smith, C.H.Llewellyn (1969). "High-energy neutrino-nucleon scattering, current algebra and partons". Nuclear Physics B. 14 (2): 337–347. Bibcode:1969NuPhB..14..337G. doi:10.1016/0550-3213(69)90213-2.
Kim, J. H.; et, al. (1998). "A Measurement of alpha(s)(Q**2) from the Gross-Llewellyn Smith sum rule". Phys. Rev. Lett. 81: 3595–3598. arXiv:hep-ex/9808015. doi:10.1103/PhysRevLett.81.3595.
Collins, John C.; Soper, Davison E. (1982). "Parton distribution and decay functions". Nuclear Physics B. 194 (3): 445–492. Bibcode:1982NuPhB.194..445C. doi:10.1016/0550-3213(82)90021-9.
Ji, Xiangdong (1997-01-27). "Gauge-Invariant Decomposition of Nucleon Spin". Physical Review Letters. 78 (4): 610–613. arXiv:hep-ph/9603249. Bibcode:1997PhRvL..78..610J. doi:10.1103/PhysRevLett.78.610. S2CID 15573151.
Ji, X. D. (1995). "QCD Analysis of the Mass Structure of the Nucleon". Physical Review Letters. 74 (6): 1071–1074. arXiv:hep-ph/9410274. Bibcode:1995PhRvL..74.1071J. doi:10.1103/PhysRevLett.74.1071. PMID 10058927.
Ji, X. D. (1995). "Breakup of hadron masses and the energy-momentum tensor of QCD". Physical Review D. 52 (1): 271–281. arXiv:hep-ph/9502213. Bibcode:1995PhRvD..52..271J. doi:10.1103/PhysRevD.52.271. PMID 10019040.
Schwinger, Julian (1975). "Source Theory Discussion of Deep Inelastic Scattering with Polarized Particles". Proceedings of the National Academy of Sciences of the United States of America. 72 (4): 1559–1563. Bibcode:1975PNAS...72.1559S. doi:10.1073/pnas.72.4.1559. JSTOR 64895. PMC 432577. PMID 16592243.
Sulkosky, V.; et, al. (2021). "Measurement of the generalized spin polarizabilities of the neutron in the low-Q2 region". Nature Physics. 17 (6): 687-692. arXiv:2103.03333. doi:10.1038/s41567-021-01245-9.
Wandzura, S.; Wilczek, F. (1977). "Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks". Physics Letters B. 72 (2): 195–198. Bibcode:1977PhLB...72..195W. doi:10.1016/0370-2693(77)90700-6.

elsevier.com

linkinghub.elsevier.com

Baldin, A. M. (1960). "Polarizability of nucleons". Nuclear Physics. 18: 310–317. Bibcode:1960NucPh..18..310B. doi:10.1016/0029-5582(60)90408-9.
Burkhardt, Hugh; Cottingham, W.N (1970). "Sum rules for forward virtual compton scattering". Annals of Physics. 56 (2): 453–463. Bibcode:1970AnPhy..56..453B. doi:10.1016/0003-4916(70)90025-4.
Gross, David J.; Smith, C.H.Llewellyn (1969). "High-energy neutrino-nucleon scattering, current algebra and partons". Nuclear Physics B. 14 (2): 337–347. Bibcode:1969NuPhB..14..337G. doi:10.1016/0550-3213(69)90213-2.
Wandzura, S.; Wilczek, F. (1977). "Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks". Physics Letters B. 72 (2): 195–198. Bibcode:1977PhLB...72..195W. doi:10.1016/0370-2693(77)90700-6.

harvard.edu

ui.adsabs.harvard.edu

Pasquini, Barbara; Vanderhaeghen, Marc (2018). "Dispersion Theory in Electromagnetic Interactions". Annual Review of Nuclear and Particle Science. 68: 75–103. arXiv:1805.10482. Bibcode:2018ARNPS..68...75P. doi:10.1146/annurev-nucl-101917-020843.
Deur, Alexandre; Brodsky, Stanley J.; De Téramond, Guy F. (2019). "The spin structure of the nucleon". Reports on Progress in Physics. 82 (7). arXiv:1807.05250. Bibcode:2019RPPh...82g6201D. doi:10.1088/1361-6633/ab0b8f. PMID 30818290.
Adler, Stephen L. (1966). "Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions". Physical Review. 143 (4): 1144–1155. Bibcode:1966PhRv..143.1144A. doi:10.1103/PhysRev.143.1144.
Baldin, A. M. (1960). "Polarizability of nucleons". Nuclear Physics. 18: 310–317. Bibcode:1960NucPh..18..310B. doi:10.1016/0029-5582(60)90408-9.
Holstein, Barry R.; Scherer, Stefan (2014). "Hadron Polarizabilities". Annual Review of Nuclear and Particle Science. 64 (1): 51–81. arXiv:1401.0140. Bibcode:2014ARNPS..64...51H. doi:10.1146/annurev-nucl-102313-025555.
Broadhurst, D. J.; Kataev, A. L. (2002). "Bjorken unpolarized and polarized sum rules: Comparative analysis of large N(F) expansions". Phys. Lett. B. 544 (1–2): 154–160. arXiv:hep-ph/0207261. Bibcode:2002PhLB..544..154B. doi:10.1016/S0370-2693(02)02478-4. S2CID 17436687.
Burkhardt, Hugh; Cottingham, W.N (1970). "Sum rules for forward virtual compton scattering". Annals of Physics. 56 (2): 453–463. Bibcode:1970AnPhy..56..453B. doi:10.1016/0003-4916(70)90025-4.
Guichon, P.A.M.; Liu, G.Q.; Thomas, A.W. (1995). "Virtual compton scattering and generalized polarizabilities of the proton". Nuclear Physics A. 591 (4): 606–638. arXiv:nucl-th/9605031. Bibcode:1995NuPhA.591..606G. doi:10.1016/0375-9474(95)00217-O.
Efremov, A. V.; Teryaev, O. V.; Leader, Elliot (1997). "Exact sum rule for transversely polarized DIS". Physical Review D. 55 (7): 4307–4314. arXiv:hep-ph/9607217. Bibcode:1997PhRvD..55.4307E. doi:10.1103/PhysRevD.55.4307.
Ellis, John; Jaffe, Robert (1974). "Sum rule for deep-inelastic electroproduction from polarized protons". Physical Review D. 9 (5): 1444–1446. Bibcode:1974PhRvD...9.1444E. doi:10.1103/PhysRevD.9.1444.
Fubini, S.; Furlan, G.; Rossetti, C. (1965). "A dispersion theory of symmetry breaking". Il Nuovo Cimento A. 40 (4): 1171–1193. Bibcode:1965NCimA..40.1171F. doi:10.1007/BF02824674.
Drell, S. D.; Hearn, A. C. (1966). "Exact Sum Rule for Nucleon Magnetic Moments". Physical Review Letters. 16 (20): 908–911. Bibcode:1966PhRvL..16..908D. doi:10.1103/PhysRevLett.16.908. OSTI 1444298.
Hosoda, Masataka; Yamamoto, Kunio (1966). "Sum Rule for the Magnetic Moment of the Dirac Particle". Progress of Theoretical Physics. 36 (2): 425–426. Bibcode:1966PThPh..36..425H. doi:10.1143/PTP.36.425.
Gottfried, Kurt (1967). "Sum Rule for High-Energy Electron-Proton Scattering". Physical Review Letters. 18 (25): 1174–1177. Bibcode:1967PhRvL..18.1174G. doi:10.1103/PhysRevLett.18.1174.
Gross, David J.; Smith, C.H.Llewellyn (1969). "High-energy neutrino-nucleon scattering, current algebra and partons". Nuclear Physics B. 14 (2): 337–347. Bibcode:1969NuPhB..14..337G. doi:10.1016/0550-3213(69)90213-2.
Collins, John C.; Soper, Davison E. (1982). "Parton distribution and decay functions". Nuclear Physics B. 194 (3): 445–492. Bibcode:1982NuPhB.194..445C. doi:10.1016/0550-3213(82)90021-9.
Ji, Xiangdong (1997-01-27). "Gauge-Invariant Decomposition of Nucleon Spin". Physical Review Letters. 78 (4): 610–613. arXiv:hep-ph/9603249. Bibcode:1997PhRvL..78..610J. doi:10.1103/PhysRevLett.78.610. S2CID 15573151.
Ji, X. D. (1995). "QCD Analysis of the Mass Structure of the Nucleon". Physical Review Letters. 74 (6): 1071–1074. arXiv:hep-ph/9410274. Bibcode:1995PhRvL..74.1071J. doi:10.1103/PhysRevLett.74.1071. PMID 10058927.
Ji, X. D. (1995). "Breakup of hadron masses and the energy-momentum tensor of QCD". Physical Review D. 52 (1): 271–281. arXiv:hep-ph/9502213. Bibcode:1995PhRvD..52..271J. doi:10.1103/PhysRevD.52.271. PMID 10019040.
Schwinger, Julian (1975). "Source Theory Discussion of Deep Inelastic Scattering with Polarized Particles". Proceedings of the National Academy of Sciences of the United States of America. 72 (4): 1559–1563. Bibcode:1975PNAS...72.1559S. doi:10.1073/pnas.72.4.1559. JSTOR 64895. PMC 432577. PMID 16592243.
Wandzura, S.; Wilczek, F. (1977). "Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks". Physics Letters B. 72 (2): 195–198. Bibcode:1977PhLB...72..195W. doi:10.1016/0370-2693(77)90700-6.

inspirehep.net

J. D. Bjorken (1970) “Inelastic scattering of polarized leptons from polarized nucleons” Phys. Rev. D 1, 1376
S. B. Gerasimov (1965) “A sum rule for magnetic moments and the damping of the nucleon magnetic moment in nuclei” Sov. J. Nucl. Phys. 2, 430 (1966) [Yad. Fiz. 2, 598 (1965)]

jstor.org

Schwinger, Julian (1975). "Source Theory Discussion of Deep Inelastic Scattering with Polarized Particles". Proceedings of the National Academy of Sciences of the United States of America. 72 (4): 1559–1563. Bibcode:1975PNAS...72.1559S. doi:10.1073/pnas.72.4.1559. JSTOR 64895. PMC 432577. PMID 16592243.

nih.gov

pubmed.ncbi.nlm.nih.gov

Deur, Alexandre; Brodsky, Stanley J.; De Téramond, Guy F. (2019). "The spin structure of the nucleon". Reports on Progress in Physics. 82 (7). arXiv:1807.05250. Bibcode:2019RPPh...82g6201D. doi:10.1088/1361-6633/ab0b8f. PMID 30818290.
Ji, X. D. (1995). "QCD Analysis of the Mass Structure of the Nucleon". Physical Review Letters. 74 (6): 1071–1074. arXiv:hep-ph/9410274. Bibcode:1995PhRvL..74.1071J. doi:10.1103/PhysRevLett.74.1071. PMID 10058927.
Ji, X. D. (1995). "Breakup of hadron masses and the energy-momentum tensor of QCD". Physical Review D. 52 (1): 271–281. arXiv:hep-ph/9502213. Bibcode:1995PhRvD..52..271J. doi:10.1103/PhysRevD.52.271. PMID 10019040.
Schwinger, Julian (1975). "Source Theory Discussion of Deep Inelastic Scattering with Polarized Particles". Proceedings of the National Academy of Sciences of the United States of America. 72 (4): 1559–1563. Bibcode:1975PNAS...72.1559S. doi:10.1073/pnas.72.4.1559. JSTOR 64895. PMC 432577. PMID 16592243.

ncbi.nlm.nih.gov

Schwinger, Julian (1975). "Source Theory Discussion of Deep Inelastic Scattering with Polarized Particles". Proceedings of the National Academy of Sciences of the United States of America. 72 (4): 1559–1563. Bibcode:1975PNAS...72.1559S. doi:10.1073/pnas.72.4.1559. JSTOR 64895. PMC 432577. PMID 16592243.

osti.gov

Drell, S. D.; Hearn, A. C. (1966). "Exact Sum Rule for Nucleon Magnetic Moments". Physical Review Letters. 16 (20): 908–911. Bibcode:1966PhRvL..16..908D. doi:10.1103/PhysRevLett.16.908. OSTI 1444298.

semanticscholar.org

api.semanticscholar.org

Broadhurst, D. J.; Kataev, A. L. (2002). "Bjorken unpolarized and polarized sum rules: Comparative analysis of large N(F) expansions". Phys. Lett. B. 544 (1–2): 154–160. arXiv:hep-ph/0207261. Bibcode:2002PhLB..544..154B. doi:10.1016/S0370-2693(02)02478-4. S2CID 17436687.
Ji, Xiangdong (1997-01-27). "Gauge-Invariant Decomposition of Nucleon Spin". Physical Review Letters. 78 (4): 610–613. arXiv:hep-ph/9603249. Bibcode:1997PhRvL..78..610J. doi:10.1103/PhysRevLett.78.610. S2CID 15573151.

springer.com

link.springer.com

Fubini, S.; Furlan, G.; Rossetti, C. (1965). "A dispersion theory of symmetry breaking". Il Nuovo Cimento A. 40 (4): 1171–1193. Bibcode:1965NCimA..40.1171F. doi:10.1007/BF02824674.