Renormalization group (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Renormalization group" in English language version.

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Coleman, Sidney; Weinberg, Erick (1973-03-15). "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking". Physical Review D. 7 (6): 1888–1910. arXiv:hep-th/0507214. Bibcode:1973PhRvD...7.1888C. doi:10.1103/PhysRevD.7.1888. ISSN 0556-2821. S2CID 6898114.

arxiv.org

Curtright, T.L.; Zachos, C.K. (March 2011). "Renormalization Group Functional Equations". Physical Review D. 83 (6): 065019. arXiv:1010.5174. Bibcode:2011PhRvD..83f5019C. doi:10.1103/PhysRevD.83.065019. S2CID 119302913.
Fritzsch, Harald (2002). "Fundamental Constants at High Energy". Fortschritte der Physik. 50 (5–7): 518–524. arXiv:hep-ph/0201198. Bibcode:2002ForPh..50..518F. doi:10.1002/1521-3978(200205)50:5/7<518::AID-PROP518>3.0.CO;2-F. S2CID 18481179.
Shankar, R. (1994). "Renormalization-group approach to interacting fermions". Reviews of Modern Physics. 66 (1): 129–192. arXiv:cond-mat/9307009. Bibcode:1994RvMP...66..129S. doi:10.1103/RevModPhys.66.129. (For nonsubscribers see Shankar, R. (1993). "Renormalization-group approach to interacting fermions". Reviews of Modern Physics. 66 (1): 129–192. arXiv:cond-mat/9307009. Bibcode:1994RvMP...66..129S. doi:10.1103/RevModPhys.66.129..)
Morris, Tim R. (1994). "The Exact renormalization group and approximate solutions". Int. J. Mod. Phys. A. 9 (14): 2411. arXiv:hep-ph/9308265. Bibcode:1994IJMPA...9.2411M. doi:10.1142/S0217751X94000972. S2CID 15749927.
Coleman, Sidney; Weinberg, Erick (1973-03-15). "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking". Physical Review D. 7 (6): 1888–1910. arXiv:hep-th/0507214. Bibcode:1973PhRvD...7.1888C. doi:10.1103/PhysRevD.7.1888. ISSN 0556-2821. S2CID 6898114.
Souza, Huan; Bevilaqua, L. Ibiapina; Lehum, A. C. (2020-08-05). "Renormalization group improvement of the effective potential in six dimensions". Physical Review D. 102 (4): 045004. arXiv:2005.03973. Bibcode:2020PhRvD.102d5004S. doi:10.1103/PhysRevD.102.045004.

av8n.com

"Introduction to Scaling Laws". av8n.com.

caltech.edu

authors.library.caltech.edu

Gell-Mann, M.; Low, F. E. (1954). "Quantum Electrodynamics at Small Distances" (PDF). Physical Review. 95 (5): 1300–1312. Bibcode:1954PhRv...95.1300G. doi:10.1103/PhysRev.95.1300.

cern.ch

cds.cern.ch

Callaway, David J.E.; Petronzio, Roberto (1984). "Determination of critical points and flow diagrams by Monte Carlo renormalization group methods". Physics Letters B. 139 (3): 189–194. Bibcode:1984PhLB..139..189C. doi:10.1016/0370-2693(84)91242-5. ISSN 0370-2693.

doi.org

A superb technical exposition by J. Zinn-Justin (2010) is the classic article Zinn-Justin, Jean (2010). "Critical Phenomena: Field theoretical approach". Scholarpedia. 5 (5): 8346. Bibcode:2010SchpJ...5.8346Z. doi:10.4249/scholarpedia.8346.. For example, for Ising-like systems with a $\mathbb {Z} _{2}$ symmetry or, more generally, for models with an O(N) symmetry, the Gaussian (free) fixed point is long-distance stable above space dimension four, marginally stable in dimension four, and unstable below dimension four. See Quantum triviality.
Gell-Mann, M.; Low, F. E. (1954). "Quantum Electrodynamics at Small Distances" (PDF). Physical Review. 95 (5): 1300–1312. Bibcode:1954PhRv...95.1300G. doi:10.1103/PhysRev.95.1300.
Curtright, T.L.; Zachos, C.K. (March 2011). "Renormalization Group Functional Equations". Physical Review D. 83 (6): 065019. arXiv:1010.5174. Bibcode:2011PhRvD..83f5019C. doi:10.1103/PhysRevD.83.065019. S2CID 119302913.
Callan, C.G. (1970). "Broken scale invariance in scalar field theory". Physical Review D. 2 (8): 1541–1547. Bibcode:1970PhRvD...2.1541C. doi:10.1103/PhysRevD.2.1541.
Fritzsch, Harald (2002). "Fundamental Constants at High Energy". Fortschritte der Physik. 50 (5–7): 518–524. arXiv:hep-ph/0201198. Bibcode:2002ForPh..50..518F. doi:10.1002/1521-3978(200205)50:5/7<518::AID-PROP518>3.0.CO;2-F. S2CID 18481179.
Kadanoff, Leo P. (1966). "Scaling laws for Ising models near $T_{c}$ ". Physics Physique Fizika. 2 (6): 263. doi:10.1103/PhysicsPhysiqueFizika.2.263.
Wilson, K.G. (1975). "The renormalization group: Critical phenomena and the Kondo problem". Rev. Mod. Phys. 47 (4): 773. Bibcode:1975RvMP...47..773W. doi:10.1103/RevModPhys.47.773.
Wilson, K.G. (1971). "Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture". Physical Review B. 4 (9): 3174–3183. Bibcode:1971PhRvB...4.3174W. doi:10.1103/PhysRevB.4.3174.
Wilson, K. (1971). "Renormalization group and critical phenomena. II. Phase-space cell analysis of critical behavior". Physical Review B. 4 (9): 3184–3205. Bibcode:1971PhRvB...4.3184W. doi:10.1103/PhysRevB.4.3184.
Wilson, K.G.; Fisher, M. (1972). "Critical exponents in 3.99 dimensions". Physical Review Letters. 28 (4): 240. Bibcode:1972PhRvL..28..240W. doi:10.1103/physrevlett.28.240.
Symanzik, K. (1970). "Small distance behaviour in field theory and power counting". Communications in Mathematical Physics. 18 (3): 227–246. Bibcode:1970CMaPh..18..227S. doi:10.1007/BF01649434. S2CID 76654566.
Gross, D.J.; Wilczek, F. (1973). "Ultraviolet behavior of non-Abelian gauge theories". Physical Review Letters. 30 (26): 1343–1346. Bibcode:1973PhRvL..30.1343G. doi:10.1103/PhysRevLett.30.1343.
Politzer, H.D. (1973). "Reliable perturbative results for strong interactions". Physical Review Letters. 30 (26): 1346–1349. Bibcode:1973PhRvL..30.1346P. doi:10.1103/PhysRevLett.30.1346.
Pendleton, Brian; Ross, Graham (1981). "Mass and mixing angle predictions from infrared fixed points". Physics Letters B. 98 (4): 291–294. Bibcode:1981PhLB...98..291P. doi:10.1016/0370-2693(81)90017-4.
Hill, Christopher T. (1981). "Quark and lepton masses from renormalization group fixed points". Physical Review D. 24 (3): 691–703. Bibcode:1981PhRvD..24..691H. doi:10.1103/PhysRevD.24.691.
Shankar, R. (1994). "Renormalization-group approach to interacting fermions". Reviews of Modern Physics. 66 (1): 129–192. arXiv:cond-mat/9307009. Bibcode:1994RvMP...66..129S. doi:10.1103/RevModPhys.66.129. (For nonsubscribers see Shankar, R. (1993). "Renormalization-group approach to interacting fermions". Reviews of Modern Physics. 66 (1): 129–192. arXiv:cond-mat/9307009. Bibcode:1994RvMP...66..129S. doi:10.1103/RevModPhys.66.129..)
Adzhemyan, L.Ts.; Kim, T.L.; Kompaniets, M.V.; Sazonov, V.K. (August 2015). "Renormalization group in the infinite-dimensional turbulence: determination of the RG-functions without renormalization constants". Nanosystems: Physics, Chemistry, Mathematics. 6 (4): 461. doi:10.17586/2220-8054-2015-6-4-461-469.
Callaway, David J.E.; Petronzio, Roberto (1984). "Determination of critical points and flow diagrams by Monte Carlo renormalization group methods". Physics Letters B. 139 (3): 189–194. Bibcode:1984PhLB..139..189C. doi:10.1016/0370-2693(84)91242-5. ISSN 0370-2693.
Aizenman, M. (1981). "Proof of the triviality of Φ⁴
_d field theory and some mean-field features of Ising models for d > 4". Physical Review Letters. 47 (1): 1–4. Bibcode:1981PhRvL..47....1A. doi:10.1103/PhysRevLett.47.1.
Callaway, David J.E. (1988). "Triviality Pursuit: Can elementary scalar particles exist?". Physics Reports. 167 (5): 241–320. Bibcode:1988PhR...167..241C. doi:10.1016/0370-1573(88)90008-7.
Morris, Tim R. (1994). "The Exact renormalization group and approximate solutions". Int. J. Mod. Phys. A. 9 (14): 2411. arXiv:hep-ph/9308265. Bibcode:1994IJMPA...9.2411M. doi:10.1142/S0217751X94000972. S2CID 15749927.
Coleman, Sidney; Weinberg, Erick (1973-03-15). "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking". Physical Review D. 7 (6): 1888–1910. arXiv:hep-th/0507214. Bibcode:1973PhRvD...7.1888C. doi:10.1103/PhysRevD.7.1888. ISSN 0556-2821. S2CID 6898114.
Souza, Huan; Bevilaqua, L. Ibiapina; Lehum, A. C. (2020-08-05). "Renormalization group improvement of the effective potential in six dimensions". Physical Review D. 102 (4): 045004. arXiv:2005.03973. Bibcode:2020PhRvD.102d5004S. doi:10.1103/PhysRevD.102.045004.

e-periodica.ch

Stueckelberg, E.C.G.; Petermann, A. (1953). "La renormalisation des constants dans la théorie de quanta". Helv. Phys. Acta (in French). 26: 499–520.

harvard.edu

ui.adsabs.harvard.edu

A superb technical exposition by J. Zinn-Justin (2010) is the classic article Zinn-Justin, Jean (2010). "Critical Phenomena: Field theoretical approach". Scholarpedia. 5 (5): 8346. Bibcode:2010SchpJ...5.8346Z. doi:10.4249/scholarpedia.8346.. For example, for Ising-like systems with a $\mathbb {Z} _{2}$ symmetry or, more generally, for models with an O(N) symmetry, the Gaussian (free) fixed point is long-distance stable above space dimension four, marginally stable in dimension four, and unstable below dimension four. See Quantum triviality.
Gell-Mann, M.; Low, F. E. (1954). "Quantum Electrodynamics at Small Distances" (PDF). Physical Review. 95 (5): 1300–1312. Bibcode:1954PhRv...95.1300G. doi:10.1103/PhysRev.95.1300.
Curtright, T.L.; Zachos, C.K. (March 2011). "Renormalization Group Functional Equations". Physical Review D. 83 (6): 065019. arXiv:1010.5174. Bibcode:2011PhRvD..83f5019C. doi:10.1103/PhysRevD.83.065019. S2CID 119302913.
Callan, C.G. (1970). "Broken scale invariance in scalar field theory". Physical Review D. 2 (8): 1541–1547. Bibcode:1970PhRvD...2.1541C. doi:10.1103/PhysRevD.2.1541.
Fritzsch, Harald (2002). "Fundamental Constants at High Energy". Fortschritte der Physik. 50 (5–7): 518–524. arXiv:hep-ph/0201198. Bibcode:2002ForPh..50..518F. doi:10.1002/1521-3978(200205)50:5/7<518::AID-PROP518>3.0.CO;2-F. S2CID 18481179.
Wilson, K.G. (1975). "The renormalization group: Critical phenomena and the Kondo problem". Rev. Mod. Phys. 47 (4): 773. Bibcode:1975RvMP...47..773W. doi:10.1103/RevModPhys.47.773.
Wilson, K.G. (1971). "Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture". Physical Review B. 4 (9): 3174–3183. Bibcode:1971PhRvB...4.3174W. doi:10.1103/PhysRevB.4.3174.
Wilson, K. (1971). "Renormalization group and critical phenomena. II. Phase-space cell analysis of critical behavior". Physical Review B. 4 (9): 3184–3205. Bibcode:1971PhRvB...4.3184W. doi:10.1103/PhysRevB.4.3184.
Wilson, K.G.; Fisher, M. (1972). "Critical exponents in 3.99 dimensions". Physical Review Letters. 28 (4): 240. Bibcode:1972PhRvL..28..240W. doi:10.1103/physrevlett.28.240.
Symanzik, K. (1970). "Small distance behaviour in field theory and power counting". Communications in Mathematical Physics. 18 (3): 227–246. Bibcode:1970CMaPh..18..227S. doi:10.1007/BF01649434. S2CID 76654566.
Gross, D.J.; Wilczek, F. (1973). "Ultraviolet behavior of non-Abelian gauge theories". Physical Review Letters. 30 (26): 1343–1346. Bibcode:1973PhRvL..30.1343G. doi:10.1103/PhysRevLett.30.1343.
Politzer, H.D. (1973). "Reliable perturbative results for strong interactions". Physical Review Letters. 30 (26): 1346–1349. Bibcode:1973PhRvL..30.1346P. doi:10.1103/PhysRevLett.30.1346.
Pendleton, Brian; Ross, Graham (1981). "Mass and mixing angle predictions from infrared fixed points". Physics Letters B. 98 (4): 291–294. Bibcode:1981PhLB...98..291P. doi:10.1016/0370-2693(81)90017-4.
Hill, Christopher T. (1981). "Quark and lepton masses from renormalization group fixed points". Physical Review D. 24 (3): 691–703. Bibcode:1981PhRvD..24..691H. doi:10.1103/PhysRevD.24.691.
Shankar, R. (1994). "Renormalization-group approach to interacting fermions". Reviews of Modern Physics. 66 (1): 129–192. arXiv:cond-mat/9307009. Bibcode:1994RvMP...66..129S. doi:10.1103/RevModPhys.66.129. (For nonsubscribers see Shankar, R. (1993). "Renormalization-group approach to interacting fermions". Reviews of Modern Physics. 66 (1): 129–192. arXiv:cond-mat/9307009. Bibcode:1994RvMP...66..129S. doi:10.1103/RevModPhys.66.129..)
Callaway, David J.E.; Petronzio, Roberto (1984). "Determination of critical points and flow diagrams by Monte Carlo renormalization group methods". Physics Letters B. 139 (3): 189–194. Bibcode:1984PhLB..139..189C. doi:10.1016/0370-2693(84)91242-5. ISSN 0370-2693.
Aizenman, M. (1981). "Proof of the triviality of Φ⁴
_d field theory and some mean-field features of Ising models for d > 4". Physical Review Letters. 47 (1): 1–4. Bibcode:1981PhRvL..47....1A. doi:10.1103/PhysRevLett.47.1.
Callaway, David J.E. (1988). "Triviality Pursuit: Can elementary scalar particles exist?". Physics Reports. 167 (5): 241–320. Bibcode:1988PhR...167..241C. doi:10.1016/0370-1573(88)90008-7.
Morris, Tim R. (1994). "The Exact renormalization group and approximate solutions". Int. J. Mod. Phys. A. 9 (14): 2411. arXiv:hep-ph/9308265. Bibcode:1994IJMPA...9.2411M. doi:10.1142/S0217751X94000972. S2CID 15749927.
Coleman, Sidney; Weinberg, Erick (1973-03-15). "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking". Physical Review D. 7 (6): 1888–1910. arXiv:hep-th/0507214. Bibcode:1973PhRvD...7.1888C. doi:10.1103/PhysRevD.7.1888. ISSN 0556-2821. S2CID 6898114.
Souza, Huan; Bevilaqua, L. Ibiapina; Lehum, A. C. (2020-08-05). "Renormalization group improvement of the effective potential in six dimensions". Physical Review D. 102 (4): 045004. arXiv:2005.03973. Bibcode:2020PhRvD.102d5004S. doi:10.1103/PhysRevD.102.045004.

nobelprize.org

Wilson, Kenneth G. "Wilson's Nobel Prize address" (PDF). NobelPrize.org.

projecteuclid.org

Symanzik, K. (1970). "Small distance behaviour in field theory and power counting". Communications in Mathematical Physics. 18 (3): 227–246. Bibcode:1970CMaPh..18..227S. doi:10.1007/BF01649434. S2CID 76654566.

semanticscholar.org

api.semanticscholar.org

Curtright, T.L.; Zachos, C.K. (March 2011). "Renormalization Group Functional Equations". Physical Review D. 83 (6): 065019. arXiv:1010.5174. Bibcode:2011PhRvD..83f5019C. doi:10.1103/PhysRevD.83.065019. S2CID 119302913.
Fritzsch, Harald (2002). "Fundamental Constants at High Energy". Fortschritte der Physik. 50 (5–7): 518–524. arXiv:hep-ph/0201198. Bibcode:2002ForPh..50..518F. doi:10.1002/1521-3978(200205)50:5/7<518::AID-PROP518>3.0.CO;2-F. S2CID 18481179.
Symanzik, K. (1970). "Small distance behaviour in field theory and power counting". Communications in Mathematical Physics. 18 (3): 227–246. Bibcode:1970CMaPh..18..227S. doi:10.1007/BF01649434. S2CID 76654566.
Morris, Tim R. (1994). "The Exact renormalization group and approximate solutions". Int. J. Mod. Phys. A. 9 (14): 2411. arXiv:hep-ph/9308265. Bibcode:1994IJMPA...9.2411M. doi:10.1142/S0217751X94000972. S2CID 15749927.
Coleman, Sidney; Weinberg, Erick (1973-03-15). "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking". Physical Review D. 7 (6): 1888–1910. arXiv:hep-th/0507214. Bibcode:1973PhRvD...7.1888C. doi:10.1103/PhysRevD.7.1888. ISSN 0556-2821. S2CID 6898114.

utexas.edu

golem.ph.utexas.edu

Distler, Jacques. "000648.html". golem.ph.utexas.edu.

wikipedia.org

de.wikipedia.org

A superb technical exposition by J. Zinn-Justin (2010) is the classic article Zinn-Justin, Jean (2010). "Critical Phenomena: Field theoretical approach". Scholarpedia. 5 (5): 8346. Bibcode:2010SchpJ...5.8346Z. doi:10.4249/scholarpedia.8346.. For example, for Ising-like systems with a $\mathbb {Z} _{2}$ symmetry or, more generally, for models with an O(N) symmetry, the Gaussian (free) fixed point is long-distance stable above space dimension four, marginally stable in dimension four, and unstable below dimension four. See Quantum triviality.

worldcat.org

search.worldcat.org

Callaway, David J.E.; Petronzio, Roberto (1984). "Determination of critical points and flow diagrams by Monte Carlo renormalization group methods". Physics Letters B. 139 (3): 189–194. Bibcode:1984PhLB..139..189C. doi:10.1016/0370-2693(84)91242-5. ISSN 0370-2693.
Coleman, Sidney; Weinberg, Erick (1973-03-15). "Radiative Corrections as the Origin of Spontaneous Symmetry Breaking". Physical Review D. 7 (6): 1888–1910. arXiv:hep-th/0507214. Bibcode:1973PhRvD...7.1888C. doi:10.1103/PhysRevD.7.1888. ISSN 0556-2821. S2CID 6898114.