The Large N Expansion in Quantum Field Theory and Statistical Physics

10.1142/1208 ◽  
1993 ◽  
Author(s):  
E Brézin ◽  
S R Wadia
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Statistical Physics ◽  
Quantum Field ◽  
Large N ◽  
Large N Expansion

scholarly journals Broken Symmetry and Yang–Mills Theory

2014 ◽  
Vol 03 (01) ◽  
pp. 54-67 ◽  
Author(s):  
François Englert
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Statistical Physics ◽  
Broken Symmetry ◽  
Quantum Field ◽  
Yang Mills

From its inception in statistical physics to its role in the construction and in the development of the asymmetric Yang–Mills phase in quantum field theory, the notion of spontaneous broken symmetry permeates contemporary physics. This is reviewed with particular emphasis on the conceptual issues.

REAL-TIME FORMALISM OF THERMOFIELD DYNAMICS AND MATSUBARA APPROACH IN QUANTUM STATISTICAL PHYSICS

1990 ◽  
Vol 05 (26) ◽  
pp. 2183-2188
Author(s):  
A. A. ABRIKOSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Real Time ◽  
Statistical Physics ◽  
Integration Contour ◽  
Quantum Field ◽  
True Vacuum ◽  
Time Formalism ◽  
Quantum Statistical ◽  
Real Time Formalism

When studying thermodynamic properties by means of quantum field theory methods one can deform the Matsubara integration contour in the complex time plane. The deformations are restricted by Hamiltonian singularities which are due to turning on an interaction. One should construct the real-time technique in the true vacuum taking the interaction into account.

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