Bethe-ansatz massive-Thirring-model thermodynamics: The weak-coupling limit

1982 ◽  
Vol 26 (5) ◽  
pp. 2519-2524 ◽  
Author(s):  
Xenophon Zotos
Keyword(s):  
Bethe Ansatz ◽  
Weak Coupling ◽  
Weak Coupling Limit ◽  
Thirring Model ◽  
Massive Thirring Model

scholarly journals A NEW APPROACH FOR BOSONIZATION OF MASSIVE THIRRING MODEL IN THREE DIMENSIONS

1999 ◽  
Vol 14 (08n09) ◽  
pp. 593-599 ◽  
Author(s):  
R. BANERJEE ◽  
E. C. MARINO
Keyword(s):  
Weak Coupling ◽  
Thirring Model ◽  
Three Dimensions ◽  
Weak Coupling Regime ◽  
Massive Fermion ◽  
New Approach ◽  
Arbitrary Mass ◽  
Massive Thirring Model ◽  
Current Correlation ◽  
Vector Gauge

We develop a new approach for bosonization in the quadratic approximation which is based on the direct comparison of current correlation functions. This is applied to the case of the massive Thirring model in three dimensions in the weak coupling regime, but with an arbitrary mass. Explicit bosonized forms for the Lagrangian and the current are obtained in terms of a vector gauge field. Results for the corresponding expressions are also obtained in the case of a free massive fermion. Finally, a comment on the derivation of the current algebra directly from the bosonized expressions is included.

scholarly journals A New Interpretation of Bethe Ansatz Solutions for Massive Thirring Model

1997 ◽  
Vol 255 (2) ◽  
pp. 204-227 ◽  
Author(s):  
T Fujita ◽  
Y Sekiguchi ◽  
K Yamamoto
Keyword(s):  
Bethe Ansatz ◽  
Thirring Model ◽  
Massive Thirring Model ◽  
New Interpretation

SINE–GORDON THEORY IN THE REPULSIVE REGIME, THERMODYNAMIC BETHE ANSATZ AND MINIMAL MODELS

2012 ◽  
Vol 26 (27n28) ◽  
pp. 1243011
Author(s):  
H. ITOYAMA
Keyword(s):  
Bethe Ansatz ◽  
Central Charge ◽  
Thirring Model ◽  
Minimal Models ◽  
Massless Limit ◽  
Thermodynamic Bethe Ansatz ◽  
Massive Thirring Model ◽  
Conformal Theory

Neutral excitations present in the repulsive regime (1/2 < β2/8π < 1) of the sine–Gordon/massive–Thirring model and its study of the massless limit by the thermodynamic Bethe ansatz is revisited. At β2/8π = 1-1/(p+1) the solitons become infinitely heavy, forcing truncation to the neutral excitations alone. The central charge in this limit is calculated to be c = 1-6/p(p+1); the mass and S-matrices of the truncated theories are identified as those of the minimal conformal theory Mp perturbed by the ϕ(1, 3) operator.

scholarly journals An obstacle to sub-AdS holography for SYK-like models

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang ◽  
Yingfei Gu ◽  
Alexei Kitaev
Keyword(s):  
Lyapunov Exponent ◽  
Weak Coupling ◽  
Kinetic Coefficient ◽  
Weak Coupling Limit ◽  
Branching Time ◽  
Quasiparticle Lifetime

Abstract We argue that “stringy” effects in a putative gravity-dual picture for SYK-like models are related to the branching time, a kinetic coefficient defined in terms of the retarded kernel. A bound on the branching time is established assuming that the leading diagrams are ladders with thin rungs. Thus, such models are unlikely candidates for sub-AdS holography. In the weak coupling limit, we derive a relation between the branching time, the Lyapunov exponent, and the quasiparticle lifetime using two different approximations.

ENERGY BAND OVERLAPPING IN HIGH-Tc SUPERCONDUCTORS

1996 ◽  
Vol 10 (30) ◽  
pp. 1483-1490 ◽  
Author(s):  
M. MORENO ◽  
R. M. MÉNDEZ-MORENO ◽  
M. A. ORTIZ ◽  
S. OROZCO
Keyword(s):  
Weak Coupling ◽  
Cuprate Superconductors ◽  
Weak Coupling Limit ◽  
Band Model ◽  
Coupling Constant ◽  
High Tc Superconductors ◽  
Energy Bands ◽  
Effective Coupling ◽  
High Tc ◽  
Two Band Model

Multi-band superconductors are analyzed and the relevance of overlapping energy bands to the high-T c of these materials is studied. Within the BCS framework, a two band model with generalized Fermi surface topologies is developed. Values of the overlapped occupancy parameters for typical cuprate superconductors are obtained as a function of the ratio R and the effective coupling constant, λ, in the weak-coupling limit. The overlap scale is of the order or lower than the cutoff (Debye) energy. The typical behavior of the isotope effect is obtained. As these superconductors have transition temperatures above the phonon barrier, the results of this approach are important to the generic understanding of the high-T c superconducting mechanism.

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