The pure phases, the irreducible quantum fields, and dynamical symmetry breaking in Symanzik-Nelson positive quantum field theories

1976 ◽  
Vol 97 (1) ◽  
pp. 1-54 ◽  
Author(s):  
Jürg Fröhlich
Keyword(s):  
Symmetry Breaking ◽  
Dynamical Symmetry ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Quantum Fields ◽  
Dynamical Symmetry Breaking ◽  
Pure Phases

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.

Estimates on Renormalization Group Transformations

1998 ◽  
Vol 50 (4) ◽  
pp. 756-793 ◽  
Author(s):  
D. Brydges ◽  
J. Dimock ◽  
T. R. Hurd
Keyword(s):  
Renormalization Group ◽  
Gaussian Measure ◽  
Ultra Violet ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Quantum Fields ◽  
Scalar Quantum ◽  
Polymer Expansion ◽  
Renormalization Group Flows

AbstractWe consider a specific realization of the renormalization group (RG) transformation acting on functional measures for scalar quantum fields which are expressible as a polymer expansion times an ultra-violet cutoff Gaussian measure. The new and improved definitions and estimates we present are sufficiently general and powerful to allow iteration of the transformation, hence the analysis of complete renormalization group flows, and hence the construction of a variety of scalar quantum field theories.

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.

scholarly journals LECTURE NOTES ON INTERACTING QUANTUM FIELDS IN DE SITTER SPACE

2014 ◽  
Vol 23 (01) ◽  
pp. 1430001 ◽  
Author(s):  
E. T. AKHMEDOV
Keyword(s):  
De Sitter Space ◽  
The Self ◽  
Field Theories ◽  
Tree Level ◽  
Main Concern ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Quantum Fields ◽  
De Sitter ◽  
Invariant States

We discuss peculiarities of quantum fields in de Sitter (dS) space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Nonconformal quantum field theories (QFTs) in dS space show very special infrared behavior, which is not shared by quantum fields neither in flat nor in anti-dS space: in dS space loops are not suppressed in comparison with tree level contributions because there are strong infrared corrections. That is true even for massive fields. Our main concern is the interrelation between these infrared effects, the invariance of the QFT under the dS isometry and the (in)stability of dS invariant states (and of dS space itself) under nonsymmetric perturbations.

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

FOCK SPACE REPRESENTATIONS OF THE ALGEBRA OF DIFFEOMORPHISMS OF THE n-TORUS

1991 ◽  
Vol 06 (05) ◽  
pp. 771-806 ◽  
Author(s):  
FRANCISCO FIGUEIRIDO ◽  
EDUARDO RAMOS
Keyword(s):  
Vector Fields ◽  
Fock Space ◽  
Field Theories ◽  
Bilinear Forms ◽  
Quantum Field Theories ◽  
The Novel ◽  
Quantum Field ◽  
Quantum Fields ◽  
Regularization Procedure ◽  
Group Of Diffeomorphisms

As a first step in the construction of quantum field theories invariant under the group of diffeomorphisms, we obtain Fock space representations of the algebra of vector fields of the n-torus. These representations have the novel feature of being carried by bilinear forms rather than operators. Nevertheless all the usual manipulations can be defined via a suitable regularization procedure. Our approach is a generalization of Kac-Peterson’s method for Diff (S1) which allows us to explicitly construct “quantum fields” transforming as “classical” tensors.

A Parenthesis on “R2QFTs” ⋆⋆

2018 ◽  
pp. 70-75
Author(s):  
Alvaro De Rújula
Keyword(s):  
Standard Model ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Relativistic Quantum ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Quantum Fields ◽  
The Standard Model

Renormalizable Relativistic Quantum Field Theories (R2QFTs) are theories In which a few parameters must be taken from observations but otherwise make predictions on the phenomena they describe. The ingreedients of the Standard Model of particles are examples. The most precise of them is Quantum Electro-Dynamics (QED). The QED prediction of the “anomalous” magnetic moment of the muon is discussed as a detailed example. Relativistic quantum fields describe all aspects and properties of particles and their interactions, they are “the mother of all concepts.”

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