Restoration of dynamically broken symmetries at finite temperature

Variational solution of the Gross-Neveu model at finite temperature in the large N limit

“…For comparison we consider the results of Refs. [8] and [9] as being "exact" in the large N limit, despite their disagreement with existing theorems [10] for symmetry breaking/restoration in 1+1 dimensions. This interesting problem, which has been studied by several authors using different models [11][12][13][14][15], will be explicitly treated in an extension of the present work [16].…”

Phase diagram of the Gross–Neveu model: exact results and condensed matter precursors

“…Shortly afterwards, massive kink [5] and kink-antikink [6] type baryons were derived analytically in the discrete chiral model, whereas the NJL 2 model features massless baryons [7,8]. Promptly it was shown that chiral symmetry gets restored at finite temperature in a second order phase transition [9,10]. In contrast to these early works, it took a rather long and winding road to determine the full phase structure of the GN model at finite chemical potential and temperature.…”

The Gross–Neveu model from string theory

“…The finite temperature properties of the Gross-Neveu model were studied in [19][20][21] and many subsequent papers. Here we briefly review the results, which are relevant for our intersecting D-brane system in the limit λ gn → 0, E ∼ m f discussed in section 3.…”

“…However the domains over which it is roughly constant grow with N c . Thus, the large N c analysis is a useful guide to the behavior of the system for finite N c as well (see [19][20][21] for further discussion).…”