scholarly journals Bosonization of the Extended Thirring Model with SU(2) Symmetry in the Minkowski Path Integral Formulation

2001 ◽  
Vol 105 (6) ◽  
pp. 1007-1016
Author(s):  
J. Sakamoto ◽  
a. K. Miyake
Keyword(s):  
Path Integral ◽  
Thirring Model ◽  
Integral Formulation ◽  
Path Integral Formulation

ABELIAN BOSONIZATION IN A PATH INTEGRAL FRAMEWORK

1993 ◽  
Vol 08 (11) ◽  
pp. 1923-1931 ◽  
Author(s):  
TH. JOLICŒUR ◽  
J. C. LE GUILLOU
Keyword(s):  
Path Integral ◽  
Correlation Functions ◽  
Thirring Model ◽  
Integral Formulation ◽  
Partition Functions ◽  
Path Integral Formulation ◽  
Schwinger Model

We investigate the Abelian bosonization procedure in the light of a path integral formulation. The correlation functions of the Bose and Fermi fields are directly related by use of several changes of variables including chiral rotations à la Fujikawa. Operator identities are replaced by statements on partition functions with suitably defined sources. The Thirring and sine–Gordon models as well as the Schwinger model are treated. We also discuss a generalized Thirring model.

Path integral formulation of centroid dynamics for systems obeying Bose–Einstein statistics

2001 ◽  
Vol 115 (10) ◽  
pp. 4484-4495 ◽  
Author(s):  
Nicholas V. Blinov ◽  
Pierre-Nicholas Roy ◽  
Gregory A. Voth
Keyword(s):  
Path Integral ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Bose Einstein
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