2006/07/22 by C. Villavicencio, Villavicencio, C., C. A. A. de Carvalho +1
Engineering · Physics and Astronomy · #Control and Stability of Dynamical Systems #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Mechanics and Applications #Relativity and Gravitational Theory #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0607250
10 pages, 10 figures
arxiv created 2006/07/22 · openalex publication_date 2006/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the Feynman rules for the construction of the Dimensionally Reduced Action (DRA) for a phi4 field theory, as well as rules for the construction of the connected Green functions and the Dimensionally Reduced Effective Action (DREA), the effective action obtained from the DRA. Two and four-point connected Green functions are calculated to illustrate the application of those rules, and to exhibit the subtraction of UV divergences. As the DRA formalism expands about a background field, instead of the high temperature expansion obtained in the usual dimensional reduced field theory, we derive an expansion that is defined for all range of temperatures. We make a low temperature analysis of the DREA by considering soft modes. In particular, we study the case of near zero mass.