期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2015)141
关键词
Field Theories in Lower Dimensions; Spontaneous Symmetry Breaking; Renormalization Group; Renormalization Regularization and Renormalons
资金
- European Union
- State of Hungary
- European Social Fund [TAMOP-4.2.4.A/2-11/1-2012-0001, TAMOP 4.2.1./B-09/1/KONV2010-0007, TAMOP-4.2.2.C-11/1/KONV-2012-0010]
- Italian PRIN Fenomeni quantistici collettivi: dai sistemi fortemente correlati ai simulatori quantistici [PRIN 2010 2010LLKJBX]
- CNR/MTA Italy-Hungary
We study the occurrence of spontaneous symmetry breaking (SSB) for O (N) models using functional renormalization group techniques. We show that even the local potential approximation (LPA) when treated exactly is sufficient to give qualitatively correct results for systems with continuous symmetry, in agreement with the Mermin-Wagner theorem and its extension to systems with fractional dimensions. For general N (including the Ising model N = 1) we study the solutions of the LPA equations for various truncations around the zero field using a finite number of terms (and different regulators), showing that SSB always occurs even where it should not. The SSB is signalled by Wilson-Fisher fixed points which for any truncation are shown to stay on the line defined by vanishing mass beta functions.
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