Alternative dimensional reduction via the density matrix: A test

2002/10/21 by C. A. A. de Carvalho, de Carvalho, C. A. A., R. M. Cavalcanti +1
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #Spectral Theory in Mathematical Physics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.hep-th/0210201

7 pages. Published in the Proceedings of the XXIII Brazilian National Meeting on Particles and Fields (October 15-19, Aguas de Lindoia, SP, Brazil), http://www.sbf1.if.usp.br/eventos/enfpc/xxiii/procs/RES191.pdf Eqs.(21) and (23) corrected

openalex publication_date 2002/10/21 · arxiv created 2003/08/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive and analyze the perturbation series for the classical effective action in quantum statistical mechanics, treated as a toy model for the dimensionally reduced effective action in quantum field theory at finite temperature. The first few terms of the series are computed for the harmonic oscillator and the quartic potential.

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