Three-dimensional Gross-Neveu model on curved spaces
نویسندگان
چکیده
منابع مشابه
Three Dimensional Gross–Neveu Model on Curved Spaces
The large N limit of the 3-d Gross–Neveu model is here studied on manifolds with positive and negative constant curvature. Using the ζ–function regularization we analyze the critical properties of this model on the spaces S2 × S1 and H2 × S1. We evaluate the free energy density, the spontaneous magnetization and the correlation length at the ultraviolet fixed point. The limit S1 → R, which is i...
متن کاملMesonic wavefunctions in the three-dimensional Gross-Neveu model
We present results from a numerical study of bound state wavefunctions in the (2+1)dimensional Gross-Neveu model with staggered lattice fermions at both zero and nonzero temperature. Mesonic channels with varying quantum numbers are identified and analysed. In the strongly coupled chirally broken phase at T = 0 the wavefunctions expose effects due to varying the interaction strength more effect...
متن کاملGross – Neveu Model
for i = 1, · · · , N . Note that the sum over i is taken inside the parenthes before taking the square, which is not very clear in the way Peskin–Schroeder writes the Lagrangian density. I’ve put the subscript g0 to indicate that it is the bare coupling. This model describes massless spin 1/2 fermions in one spatial dimension with an attractive short-range potential. What the model does is that...
متن کاملTwo dimensional lattice Gross–Neveu model with domain-wall fermions
We investigate the two dimensional lattice Gross–Neveu model in large flavor number limit using the domain-wall fermion formulation, as a toy model of lattice QCD. We study nonperturbative behavior of the restoration of chiral symmetry of the domain-wall fermions as the extent of the extra dimension (Ns) is increased to infinity. We find the the parity broken phase (Aoki phase) for finite Ns, a...
متن کاملRenormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density
The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d = 2 + 1 dimensions. The effects of the wave function renormalization of the auxiliary scalar field on the transition have been studied. The analysis is performed for a number of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1997
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(97)00155-7