Form Factor of the Two Fermions Bound State: The Case of Equal Masses and Vector Currentl

2021 ◽  
Vol 24 (2) ◽  
pp. 133-144
Author(s):  
Yu. D. Chernichenko
Keyword(s):  
Field Theory ◽  
Form Factor ◽  
Hamiltonian Formulation ◽  
Three Dimensional ◽  
Vector Current ◽  
Bound State ◽  
Quantum Field ◽  
Quasipotential Approach ◽  
New Form ◽  
Relativistic Particles

New form factor components of two relativistic with equal masses fermions bound state in the case of a vector current are obtained. Consideration is performed within the framework of the relativistic quasipotential approach on the basis of covariant Hamiltonian formulation of quantum field theory by transition to three-dimensional relativistic configurational representation in the case of two relativistic particles with equal masses and spin 1/2.

THE NEXT STEP IN LEPTONIC DECAYS OF ETA AND KL BOUND STATES

1992 ◽  
Vol 07 (09) ◽  
pp. 1935-1951 ◽  
Author(s):  
G.A. KOZLOV
Keyword(s):  
Field Theory ◽  
Transition Form Factor ◽  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Quantum Field ◽  
Relative Momentum ◽  
Transition Form ◽  
Structure Transition ◽  
Leptonic Decays

A systematic discussion of the probability of eta and KL bound-state decays—[Formula: see text] and [Formula: see text](l=e, μ)—within a three-dimensional reduction to the two-body quantum field theory is presented. The bound-state vertex function depends on the relative momentum of constituent-like particles. A structure-transition form factor is defined by a confinement-type quark-antiquark wave function. The phenomenology of this kind of decays is analyzed.

scholarly journals ADVANCE IN DYNAMICAL SPONTANEOUS SYMMETRY BREAKING

1999 ◽  
Vol 13 (29n31) ◽  
pp. 3496-3498 ◽  
Author(s):  
GENG CHENG
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Symmetry Breaking ◽  
Quantum Electrodynamics ◽  
Bound State ◽  
Dyson Equation ◽  
Quantum Field ◽  
Goldstone Theorem ◽  
New Form ◽  
Theory Framework

Recently, a condition is derived for a nontrivial solution of the Schwinger–Dyson equation to be accompanied by a Goldstone bound state in a special quantum electrodynamics model. This result is extended and a new form of the Goldstone theorem is obtained in a general quantum field theory framework.

scholarly journals Colourful Poincaré symmetry, gravity and particle actions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Joaquim Gomis ◽  
Euihun Joung ◽  
Axel Kleinschmidt ◽  
Karapet Mkrtchyan
Keyword(s):  
Field Theory ◽  
Free Particle ◽  
Three Dimensional ◽  
Background Field ◽  
Quantum Field ◽  
Symmetry Factor ◽  
Starting Point ◽  
Poincaré Algebra ◽  
Poincaré Symmetry ◽  
Three Space

Abstract We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincaré symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.

scholarly journals Hamiltonian Approach to QCD at Finite Temperature

Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 40
Author(s):  
Hugo Reinhardt ◽  
Davide Campagnari ◽  
Markus Quandt
Keyword(s):  
Field Theory ◽  
Ground State ◽  
Finite Temperature ◽  
Hamiltonian Formulation ◽  
Spatial Dimension ◽  
Quantum Field ◽  
Hamiltonian Approach ◽  
Inverse Temperature ◽  
Chiral Phase ◽  
Novel Approach

A novel approach to the Hamiltonian formulation of quantum field theory at finite temperature is presented. The temperature is introduced by compactification of a spatial dimension. The whole finite-temperature theory is encoded in the ground state on the spatial manifold S 1 ( L ) × R 2 where L is the length of the compactified dimension which defines the inverse temperature. The approach is then applied to the Hamiltonian formulation of QCD in Coulomb gauge to study the chiral phase transition at finite temperatures.

scholarly journals The fermion-boson mapping in three-dimensional quantum field theory

1994 ◽  
Vol 338 (2-3) ◽  
pp. 253-258 ◽  
Author(s):  
Eduardo Fradkin ◽  
Fidel A. Schaposnik
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Three Dimensional ◽  
Quantum Field
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