φ^4 theory in 1+d dimensions at high temperature: dimensional reductinon

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dc.contributor.authorFernández Álvarez-Estrada, Ramón
dc.date.accessioned2023-06-20T20:12:48Z
dc.date.available2023-06-20T20:12:48Z
dc.date.issued1987-10-15
dc.description© 1987 The American Physical Society. The author acknowledges the financial support provided by a Fulbright-Ministerio de Educacion y Ciencia (Spain) grant, through Council for International Exchange of Scholars. He is grateful to Professor B. Zumino, Professor M. K. Gaillard, and the Theoretical Physics Group, Lawrence Berkeley Laboratory for their kind hospitality. He also thanks Professor B. Zumino for reading the manuscript and to Dr. A. Niemi and Dr. M. do Amaral for discussions. This work was supported by the Director, Office of Energy Research, Oftice of High Energy Physics of the U.S. Department of Energy under Contract No. DE-AC03-76-SF00098, the National Science Foundation under Research Grant No. PHYS. 85-15857, and Plan Movilizador de la Fisica de Altas Energias, Comision Asesora de Investigacion Cientifica y Tecnica, Spain (proyecto AE86-0029).
dc.description.abstractThe φ^4 theory in 1+d dimensions is analyzed at high temperatures in the imaginary-time formalism. General results are given for the leading high-temperature contributions to all renormalized Careen's functions. The latter are generated by a high-temperature partition function which describes another φ^4 theory in d spatial dimensions with special mass renormalizations. The triviality/nontriviality of the (φ^4)_1+3 theory is discussed briefiy.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipBecas Fulbright
dc.description.sponsorshipOffice of Energy Research
dc.description.sponsorshipOftice of High Energy Physics of the U.S. Department of Energy under Contract
dc.description.sponsorshipNational Science Foundation (NFS), EE.UU.
dc.description.sponsorshipComisión Asesora de Investigación Científica y Técnica, España
dc.description.sponsorshipMinisterio de Educación y Ciencia (MEC), España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/35099
dc.identifier.citation1 L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974); D. Gross, R. Pisarski, and L. Yaffe, Rev. Mod. Phys. 53, 43 (1981); R. Jackiw and S. Templeton, Phys. Rev. D 23, 2291 (1981); T. Appelquist and R. Pisarski, ibid. 23, 2305 (1981); A. Jourjine, Ann. Phys. (N.Y.) 155, 305 (1984). 2 T. Appelquist and R. Carazzone, Phys. Rev. D 11, 2856 (1975) 3 R. F. Álvarez-Estrada, Ann. Phys. (N.Y.) 174, 442 (1987). 4 C. W. Bernard, Phys. Rev. D 9, 3312 (1974). 5 E. Brezin, J. C. Le Guillou, and J. Zinn-Justin, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6. 6 P. D. Morley and M. B. Kisslinger, Phys. Rep. 51, 83 (1979). 7 J. Frohlich, Nucl. Phys. B200, 281 (1982); C. Aragao de Carvalho, S. Caracciolo, and J. Frohlich, ibid. B215, 209 (1983); B. Freedman, P. Smolensky, and D. Weingarten, Phys. Lett. 113B,481 (1983); D. J. E. Callaway and R. Petronzio, Nucl. Phys. B240, 577 (1984); M. G. do Amaral and R. C. Shellard, Phys. Lett. B 171, 285 (1986). 8 C. Brydges, J. Frohlich, and A. D. Sokal, Commun. Math. Phys. 91, 141 (1983). 9 P. M. Stevenson, Phys. Rev. D 32, 1389 (1985). 10 P. M. Stevenson and R. Tarrach, Phys. Lett. B 176, 436 (1986). 11 B. Alles and R. Tarrach, Phys. Rev. D 33, 1718 (1986); 34, 644(E) (1986). 12 W. Bardeen and M. Moshe, Phys. Rev. D 28, 1372 (1983); 34, 1229 (1986).
dc.identifier.doi10.1103/PhysRevD.36.2411
dc.identifier.issn0556-2821
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.36.2411
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59851
dc.issue.number8
dc.journal.titlePhysical review D
dc.language.isoeng
dc.page.final2414
dc.page.initial2411
dc.publisherAmerican Physical Society
dc.relation.projectIDDE-AC03-76-SF00098
dc.relation.projectIDPHYS. 85-15857
dc.relation.projectIDAE86-0029
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordAstronomy and astrophysics
dc.subject.keywordPhysics
dc.subject.keywordparticles and fields
dc.subject.ucmFísica (Física)
dc.subject.unesco22 Física
dc.titleφ^4 theory in 1+d dimensions at high temperature: dimensional reductinon
dc.typejournal article
dc.volume.number36
dspace.entity.typePublication
relation.isAuthorOfPublication1d9ad3e6-2e32-4c9b-b666-73b1e18d1c0e
relation.isAuthorOfPublication.latestForDiscovery1d9ad3e6-2e32-4c9b-b666-73b1e18d1c0e
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