On the solution of certain singular integral equations of quantum field theory

1958 ◽  
Vol 8 (2) ◽  
pp. 316-326 ◽  
Author(s):  
E. Omnès
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Quantum Field

ORIGIN OF FERMION MASSES

1991 ◽  
Vol 06 (40) ◽  
pp. 3697-3704
Author(s):  
J. W. MOFFAT
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Integral Equations ◽  
Mass Spectra ◽  
Coupling Constants ◽  
Quantum Field ◽  
Fermion Masses ◽  
The Standard Model ◽  
Baryon Mass ◽  
Nonlocal Quantum

An eigenvalue equation for the spectrum of lepton and quark is obtained from a truncated set of Tamm-Dancoff integral equations, generated by a four-fermion interaction based on a finite nonlocal quantum field theory. Eigenvalue equations for the meson and baryon mass spectra are also derived and integral equations are proposed for the scattering amplitudes, which can be used to calculate coupling constants in the nonlocal version of the standard model.

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

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