Yang-Mills Dynamics as Effective Nonlinear Field Theory of Composite Vector Bosons in Unified Spinorfield Models

1986 ◽  
Vol 41 (5) ◽  
pp. 683-703
Author(s):  
H. Stumpf
Keyword(s):  
Field Theory ◽  
Vector Boson ◽  
High Energy ◽  
Field Theories ◽  
Composite Models Of Particles ◽  
Statistical Interpretation ◽  
Mapping Procedure ◽  
Yang Mills ◽  
Effective Dynamics ◽  
Vector Bosons

Unified nonlinear spinorfield models are self-regularizing quantum field theories in which all observable (elementary and non-elementary) particles are assumed to be bound states of fermionic preon fields. Due to their large masses the preons themselves are confined and below the threshold of preon production the effective dynamics of the model is only concerned with bound state reactions. In preceding papers a functional energy representation, the statistical interpretation and the dynamical equations were derived and the effective dynamics for preonantipreon scalar boson states and three-preon fermion (and anti-fermion) states was studied in the low energy as well as in the high energy limit, leading to a functional energy representation of an effective Yukawa theory (with high energy form-factors). In this paper the effective dynamics of two-preon composite vector bosons is studied. The weak mapping of the functional energy representation of the spinorfield on to the functional energy representation for the effective vector boson dynamics (with interactions) produces a non-abelian SU (2) local gauge theory (Yang-Mills theory) for a triplet of mass-zero vector bosons in the temporal and Coulomb gauge. This special gauge is enforced by the use of the energy representation and is compatible with the nonlinear Yang-Mills dynamics (and quantization). Apart from the non-abelian Gauss-law all other field laws and constraints directly follow from the mapping procedure. The non-abelian Gauss-law is a consequence of the relativistic invariance of the effective dynamics. PACS 11.10 Field theory PACS 12.10 Unified field theories and models PACS 12.35 Composite models of particles

scholarly journals Formfactors of Relativistic Composite Particle Interactions in Unified Nonlinear Spinorfield Models

1985 ◽  
Vol 40 (7) ◽  
pp. 752-773
Author(s):  
H. Stumpf
Keyword(s):  
Composite Particle ◽  
Particle Interaction ◽  
High Energy ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Statistical Interpretation ◽  
Quantum Field ◽  
Mapping Procedure ◽  
Effective Dynamics ◽  
Rough Approximation

Unified nonlinear spinorfield models are self-regularizing quantum field theories in which all observable (elementary and non-elementary) particles are assumed to be bound states of fermionic preon fields. Due to their large masses the preons themselves are confined and below the threshold of preon production the effective dynamics of the model is only concerned with bound state reactions. In preceding papers a functional energy representation, the statistical interpretation and the dynamical equations were derived and the effective dynamics for preon-antipreon boson states and three preon-fermion states (with corresponding anti-fermions) was studied in the low energy limit. The transformation of the functional energy representation of the spinorfield into composite particle functional operators produced a hierarchy of effective interactions at the composite particle level, the leading terms of which are identical with the functional energy representation of a phenomenological boson-fermion coupling theory. In this paper these calculations are extended into the high energy range. This leads to formfactors for the composite particle interaction terms which are calculated in a rough approximation and which in principle are observable. In addition, the mathematical and physical interpretation of nonlocal quantum field theories and the meaning of the mapping procedure, its relativistic invariance etc. are discussed.

scholarly journals Chiral correlators in $$ \mathcal{N} $$ = 2 superconformal quivers

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francesco Galvagno ◽  
Michelangelo Preti
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Flat Space ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Yang Mills ◽  
The Matrix ◽  
Superspace Formalism ◽  
Model Approach

Abstract We consider a family of $$ \mathcal{N} $$ N = 2 superconformal field theories in four dimensions, defined as ℤq orbifolds of $$ \mathcal{N} $$ N = 4 Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a perturbative level, using both the matrix model approach arising from supersymmetric localisation on the four-sphere and explicit field theory calculations on the flat space using the $$ \mathcal{N} $$ N = 1 superspace formalism. We implement a highly efficient algorithm to produce a large number of results for finite values of N , exploiting the symmetries of the quiver to reduce the complexity of the mixing between the operators. Finally the interplay with the field theory calculations allows to isolate special observables which deviate from $$ \mathcal{N} $$ N = 4 only at high orders in perturbation theory.

Electroweak Bosons, Leptons and Han-Nambu Quarks in a Unified Spinor-Isospinor Preon Field Model

1986 ◽  
Vol 41 (12) ◽  
pp. 1399-1411
Author(s):  
H. Stumpf
Keyword(s):  
Shell Model ◽  
Bound States ◽  
First Generation ◽  
Composite Fermions ◽  
Energy Limit ◽  
Mapping Procedure ◽  
Effective Interactions ◽  
Yang Mills ◽  
Effective Dynamics ◽  
Left Handed

The model is defined by a selfregularizing nonlinear spinor-isospinor preon field equation and all observable (elementary and non-elementary) particles are assumed to be bound states o f the quantized preon field. In a series o f preceding papers this model was extensively studied. In particular for com posite electroweak bosons the Yang-Mills dynamics was derived as the effective dynamics o f these bosons. In this paper the first generation o f com posite leptons and com posite Han-Nam bu quarks is introduced and together with electroweak bosons, these particles are interpreted as “shell model” states o f the underlying preon field. The choice o f the shell model states is justified by deriving the effective fermion-boson coupling and demonstrating its equivalence with the phenom enological electroweak coupling terms o f the Weinberg-Salam model. The investigation is restricted to the left-handed parts o f the composite fermions. Color is revealed to be a hidden orbital angular momentum in the shell model and hypercharge follows from the effective coupling. The techniques o f deriving effective interactions is a “weak mapping” procedure and the calculations are done in the “low” energy limit.

scholarly journals Power counting and Wilsonian renormalization in nuclear effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641007 ◽  
Author(s):  
Manuel Pavón Valderrama
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Effective Field Theory ◽  
Nuclear Physics ◽  
High Energy ◽  
Effective Field ◽  
Power Counting ◽  
Low Energy ◽  
Field Theories ◽  
Nuclear Forces

Effective field theories are the most general tool for the description of low energy phenomena. They are universal and systematic: they can be formulated for any low energy systems we can think of and offer a clear guide on how to calculate predictions with reliable error estimates, a feature that is called power counting. These properties can be easily understood in Wilsonian renormalization, in which effective field theories are the low energy renormalization group evolution of a more fundamental — perhaps unknown or unsolvable — high energy theory. In nuclear physics they provide the possibility of a theoretically sound derivation of nuclear forces without having to solve quantum chromodynamics explicitly. However there is the problem of how to organize calculations within nuclear effective field theory: the traditional knowledge about power counting is perturbative but nuclear physics is not. Yet power counting can be derived in Wilsonian renormalization and there is already a fairly good understanding of how to apply these ideas to non-perturbative phenomena and in particular to nuclear physics. Here we review a few of these ideas, explain power counting in two-nucleon scattering and reactions with external probes and hint at how to extend the present analysis beyond the two-body problem.

scholarly journals VECTOR BOSON SCATTERING AND BOUNDARY CONDITIONS IN KALUZA–KLEIN TOY MODEL

2012 ◽  
Vol 27 (17) ◽  
pp. 1250098 ◽  
Author(s):  
PETR MORÁVEK ◽  
JIŘÍ HOŘEJŠÍ
Keyword(s):  
Scattering Amplitudes ◽  
Boundary Conditions ◽  
Vector Boson ◽  
High Energy ◽  
Electroweak Symmetry ◽  
Least Action ◽  
Higher Dimensional ◽  
Principle Of Least Action ◽  
Vector Bosons ◽  
Vector Boson Scattering

We study a simple higher-dimensional toy model of electroweak symmetry breaking, in particular a pure gauge 5D theory on flat background with one extra finite space dimension. The principle of least action and the requirement of gauge independence of scattering amplitudes are used to determine the possible choices of boundary conditions. We demonstrate that for any of these choices the scattering amplitudes of vector bosons do not exhibit power-like growth in the high energy limit. Our analysis is an extension and generalization of the results obtained previously by other authors.

scholarly journals ON RENORMALIZABILITY OF THE EFFECTIVE FIELD THEORY OF MASSIVE YANG–MILLS FIELDS

2012 ◽  
Vol 27 (23) ◽  
pp. 1250128 ◽  
Author(s):  
J. GEGELIA ◽  
G. JAPARIDZE
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Vector Boson ◽  
Effective Field ◽  
Boson Mass ◽  
Yang Mills

Effective field theory (EFT) of massive Yang–Mills fields interacting with fermions is considered. Perturbative renormalizability in the framework of EFT is shown. It is argued that the limit of vanishing vector boson mass leads to massless gauge EFT. Possible relevance for the solution to the strong CP problem is discussed.

VECTOR BOSON DOMINANCE OF ELECTROWEAK INTERACTIONS

1993 ◽  
Vol 08 (33) ◽  
pp. 3129-3138 ◽  
Author(s):  
YU. F. PIROGOV
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Vector Boson ◽  
Local Symmetry ◽  
Higgs Bosons ◽  
Quantum Field ◽  
Gauge Bosons ◽  
The Standard Model ◽  
Vector Bosons ◽  
Common Substructure

The linearization of the nonlinear standard model G/H= SU(3) L × U(1)/SU(2) L × U(1) via the hidden local symmetry H loc = SU(2) L × U(1) is considered. Mixing of the light elementary gauge bosons of the standard model with the dynamically generated heavy composite vector bosons is studied under the hypothesis of vector boson dominance. The model is theoretically consistent as quantum field theory and phenomenologically acceptable. It can be used as a guide to study systematically the deviations from the standard model due to a common substructure of leptons, quarks and Higgs bosons.

scholarly journals INFRARED ANALYSIS OF QUANTUM FIELD THEORIES

2007 ◽  
Vol 22 (08n09) ◽  
pp. 1727-1734 ◽  
Author(s):  
MARCO FRASCA
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Asymptotic Series ◽  
Field Theories ◽  
Infrared Analysis ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Strongly Coupled ◽  
Yang Mills ◽  
The Given

We show that for a λϕ4 theory having many components, the solution with all equal components in the infrared regime is stable with respect to our expansion given by a recently devised approach to analyze strongly coupled quantum field theory. The analysis is extended to a pure Yang–Mills theory showing how, in this case, the given asymptotic series exists. In this way, many components theories in the infrared regime can be mapped to a single component scalar field theory obtaining their spectrum.

scholarly journals Collinear electroweak radiation in antenna parton showers

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
Ronald Kleiss ◽  
Rob Verheyen
Keyword(s):  
Vector Boson ◽  
Electroweak Theory ◽  
Initial State ◽  
Final State ◽  
Yang Mills ◽  
Spin Effects ◽  
Vector Bosons ◽  
Lhc Physics ◽  
Electroweak Sector ◽  
Preliminary Description

AbstractWe present a first implementation of collinear electroweak radiation in the Vincia parton shower. Due to the chiral nature of the electroweak theory, explicit spin dependence in the shower algorithm is required. We thus use the spinor-helicity formalism to compute helicity-dependent branching kernels, taking special care to deal with the gauge relics that may appear in computation that involve longitudinal polarizations of the massive electroweak vector bosons. These kernels are used to construct a shower algorithm that includes all possible collinear final-state electroweak branchings, including those induced by the Yang–Mills triple vector boson coupling and all Higgs couplings, as well as vector boson emissions from the initial state. We incorporate a treatment of features particular to the electroweak theory, such as the effects of bosonic interference and recoiler effects, as well as a preliminary description of the overlap between electroweak branchings and resonance decays. Some qualifying results on electroweak branching spectra at high energies, as well as effects on LHC physics are presented. Possible future improvements are discussed, including treatment of soft and spin effects, as well as issues unique to the electroweak sector.

ISSUES OF EFFECTIVE FIELD THEORIES WITH RESONANCES

2014 ◽  
Vol 26 ◽  
pp. 1460094
Author(s):  
JAMBUL GEGELIA ◽  
GEORGE JAPARIDZE
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Effective Field Theory ◽  
Axial Current ◽  
Effective Field ◽  
Field Theories ◽  
Yang Mills ◽  
Unstable Particles

We address some issues of renormalization and symmetries of effective field theories with unstable particles - resonances. We also calculate anomalous contributions in the divergence of the singlet axial current in an effective field theory of massive SU(N) Yang-Mills fields interacting with fermions and discuss their possible relevance to the strong CP problem.

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