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Title: Quantum statistical correlations in thermal field theories: boundary effective theory
Authors: Moreira, André Bessa
Brandt, Fernando Tadeu Caldeira
Carvalho Filho, Carlos Alberto Aragão de
Fraga, Eduardo Souza
Keywords: Quantum statistical correlations;Thermal field theories;Boundary effective theory
Issue Date: 8-Sep-2010
Publisher: The American Physical Society
Citation: MOREIRA, André Bessa et al. Quantum statistical correlations in thermal field theories: boundary effective theory. Physical Review D, Particles, Fields, Gravitation, and Cosmology, v. 82, 2010). Disponível em: <>. Acesso em: 13 out. 2017.
Portuguese Abstract: 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 c, 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 Schro¨dinger 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 c, 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
ISSN: 2470-0029
Appears in Collections:ECT - Artigos publicados em periódicos

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