Quantum statistical correlations in thermal field theories: boundary effective theory

Moreira, André Bessa; Brandt, Fernando Tadeu Caldeira; Carvalho Filho, Carlos Alberto Aragão de; Fraga, Eduardo Souza

Quantum statistical correlations in thermal field theories: boundary effective theory

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dc.contributor.author	Moreira, André Bessa
dc.contributor.author	Brandt, Fernando Tadeu Caldeira
dc.contributor.author	Carvalho Filho, Carlos Alberto Aragão de
dc.contributor.author	Fraga, Eduardo Souza
dc.date.accessioned	2020-08-11T13:22:17Z
dc.date.available	2020-08-11T13:22:17Z
dc.date.issued	2010-09-08
dc.description.resumo	We show that the one-loop effective action at finite temperature for a scalar field with quartic interaction has the same renormalized expression as at zero temperature if written in terms of a certain classical field ϕc, and if we trade free propagators at zero temperature for their finite-temperature counterparts. The result follows if we write the partition function as an integral over field eigenstates (boundary fields) of the density matrix element in the functional Schrödinger field representation, and perform a semiclassical expansion in two steps: first, we integrate around the saddle point for fixed boundary fields, which is the classical field ϕc, a functional of the boundary fields; then, we perform a saddle-point integration over the boundary fields, whose correlations characterize the thermal properties of the system. This procedure provides a dimensionally reduced effective theory for the thermal system. We calculate the two-point correlation as an example	pt_BR
dc.identifier.citation	BESSA, A.; BRANDT, F. T.; CARVALHO FILHO, C. A. A.; FRAGA, E. S.. Quantum statistical correlations in thermal field theories: boundary effective theory. Physical Review D, [s.l.], v. 82, n. 6, p. 6-6, 8 set. 2010. American Physical Society (APS). Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.82.065010. Acesso em: 04 ago. 2020. http://dx.doi.org/10.1103/physrevd.82.065010.	pt_BR
dc.identifier.doi	10.1103/PhysRevD.82.065010
dc.identifier.issn	2470-0029
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/29790
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Quantum statistical correlations	pt_BR
dc.subject	Thermal field theories	pt_BR
dc.subject	Boundary effective theory	pt_BR
dc.title	Quantum statistical correlations in thermal field theories: boundary effective theory	pt_BR
dc.type	article	pt_BR