scholarly journals The TBA, the gross-neveu model, and polyacetylene

2008 ◽  
pp. 231-239 ◽  
Author(s):  
Alan Chodos ◽  
Hisakazu Minakata
Keyword(s):  
Gross Neveu Model

scholarly journals Loops in AdS: from the spectral representation to position space. Part II

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Dean Carmi
Keyword(s):  
Spectral Representation ◽  
Tree Level ◽  
Point Function ◽  
Position Space ◽  
Gross Neveu Model ◽  
Loop Amplitudes

Abstract We continue the study of AdS loop amplitudes in the spectral representation and in position space. We compute the finite coupling 4-point function in position space for the large-N conformal Gross Neveu model on AdS3. The resummation of loop bubble diagrams gives a result proportional to a tree-level contact diagram. We show that certain families of fermionic Witten diagrams can be easily computed from their companion scalar diagrams. Thus, many of the results and identities of [1] are extended to the case of external fermions. We derive a spectral representation for ladder diagrams in AdS. Finally, we compute various bulk 2-point correlators, extending the results of [1].

scholarly journals The Gross-Neveu model at finite temperature and density

1987 ◽  
Vol 280 ◽  
pp. 289-303 ◽  
Author(s):  
F. Karsch ◽  
J. Kogut ◽  
H.W. Wyld
Keyword(s):  
Finite Temperature ◽  
Gross Neveu Model

Pion condensation in the Gross-Neveu model

2010 ◽  
Vol 65 (1) ◽  
pp. 21-26 ◽  
Author(s):  
V. Ch. Zhukovsky ◽  
K. G. Klimenko ◽  
T. G. Khunjua
Keyword(s):  
Pion Condensation ◽  
Gross Neveu Model

scholarly journals Dimensional reduction of the chiral-continuous Gross–Neveu model

1998 ◽  
Vol 260 (1-2) ◽  
pp. 157-172 ◽  
Author(s):  
G.N.J. Añaños ◽  
A.P.C. Malbouisson ◽  
M.B. Silva-Neto ◽  
N.F. Svaiter
Keyword(s):  
Dimensional Reduction ◽  
Gross Neveu Model

scholarly journals Variational Solution of the Gross–Neveu Model: Finite N and Renormalization

1997 ◽  
Vol 12 (19) ◽  
pp. 3307-3334 ◽  
Author(s):  
C. Arvanitis ◽  
F. Geniet ◽  
M. Iacomi ◽  
J.-L. Kneur ◽  
A. Neveu
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
General Framework ◽  
Free Field ◽  
Variational Calculation ◽  
Final Point ◽  
Variational Calculations ◽  
Perturbative Renormalization ◽  
Good Agreement ◽  
Gross Neveu Model

We show how to perform systematically improvable variational calculations in the O(2N) Gross–Neveu model for generic N, in such a way that all infinities usually plaguing such calculations are accounted for in a way compatible with the perturbative renormalization group. The final point is a general framework for the calculation of nonperturbative quantities like condensates, masses, etc., in an asymptotically free field theory. For the Gross–Neveu model, the numerical results obtained from a "two-loop" variational calculation are in a very good agreement with exact quantities down to low values of N.

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