scholarly journals ERG AND SCHWINGER-DYSON EQUATIONS – COMPARISON IN FORMULATIONS AND APPLICATIONS –

2001 ◽  
Vol 16 (11) ◽  
pp. 1913-1925 ◽  
Author(s):  
HARUHIKO TERAO
Keyword(s):  
Symmetry Breaking ◽  
Phase Structure ◽  
Three Dimensional ◽  
Dynamical Symmetry ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Practical Application ◽  
Dynamical Symmetry Breaking ◽  
Large N

The advantageous points of ERG in applications to non-perturbative analyses of quantum field theories are discussed in comparison with the Schwinger-Dyson equations. First we consider the relation between these two formulations specially by examining the large N field theories. In the second part we study the phase structure of dynamical symmetry breaking in three dimensional QED as a typical example of the practical application.

ON THE EFFECTIVE ACTION IN FIELD THEORIES WITH DYNAMICAL SYMMETRY BREAKING

1991 ◽  
Vol 06 (26) ◽  
pp. 2443-2452 ◽  
Author(s):  
V. P. GUSYNIN ◽  
V. A. MIRANSKY
Keyword(s):  
Symmetry Breaking ◽  
Effective Action ◽  
Green's Functions ◽  
Green’S Functions ◽  
Dynamical Symmetry ◽  
Low Energy ◽  
Field Theories ◽  
Dynamical Symmetry Breaking ◽  
Derivatives Of

An approach to the low energy effective action based on the formalism of Green's functions of composite is developed in field theories with dynamical symmetry breaking. The effective action of the gauged Nambu-Jona-Lasinio model is derived as a series in powers of the derivatives of composite fields. The mechanism of scale symmetry breaking in this model is discussed.

Aspects of dynamical symmetry breaking in gauge field theories

1989 ◽  
Vol 323 (3) ◽  
pp. 493-512 ◽  
Author(s):  
William A. Bardeen ◽  
C.N. Leung ◽  
S.T. Love
Keyword(s):  
Symmetry Breaking ◽  
Gauge Field ◽  
Dynamical Symmetry ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Dynamical Symmetry Breaking

scholarly journals Swing surfaces and holographic entanglement beyond AdS/CFT

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Luis Apolo ◽  
Hongliang Jiang ◽  
Wei Song ◽  
Yuan Zhong
Keyword(s):  
Black Holes ◽  
Lorentz Invariance ◽  
Entanglement Entropy ◽  
Three Dimensional ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Asymptotically Flat ◽  
Infinite Dimensional ◽  
Holographic Entanglement Entropy

Abstract We propose a holographic entanglement entropy prescription for general states and regions in two models of holography beyond AdS/CFT known as flat3/BMSFT and (W)AdS3/WCFT. Flat3/BMSFT is a candidate of holography for asymptotically flat three- dimensional spacetimes, while (W)AdS3/WCFT is relevant in the study of black holes in the real world. In particular, the boundary theories are examples of quantum field theories that feature an infinite dimensional symmetry group but break Lorentz invariance. Our holographic entanglement entropy proposal is given by the area of a swing surface that consists of ropes, which are null geodesics emanating from the entangling surface at the boundary, and a bench, which is a spacelike geodesic connecting the ropes. The proposal is supported by an extension of the Lewkowycz-Maldacena argument, reproduces previous results based on the Rindler method, and satisfies the first law of entanglement entropy.

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