Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems

Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and allow for converting an undriven physical system into a driven one. This is a novel phenomenon in dynamics that resembles the role of gauges in quantum field theories.

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Emergent fields from hidden sectors

Journal of Physics Conference Series ◽

10.1088/1742-6596/2105/1/012002 ◽

2021 ◽

Vol 2105 (1) ◽

pp. 012002

Author(s):

Pascal Anastasopoulos

Keyword(s):

String Theory ◽

Particle Physics ◽

Field Theories ◽

Gauge Fields ◽

Quantum Field Theories ◽

Quantum Field

Abstract The present research proceeding aims at investigating/exploring/sharpening the phenomenological consequences of string theory and holography in particle physics and cosmology. We rely on and elaborate on the recently proposed framework whereby four-dimensional quantum field theories describe all interactions in Nature, and gravity is an emergent and not a fundamental force. New gauge fields, axions, and fermions, which can play the role of right-handed neutrinos, can also emerge in this framework. Preprint: UWThPh 2021-8

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How important is iϵ in QFT?

International Journal of Modern Physics A ◽

10.1142/s0217751x15500712 ◽

2015 ◽

Vol 30 (14) ◽

pp. 1550071

Author(s):

Amir H. Fariborz ◽

Renata Jora ◽

Joseph Schechter

Keyword(s):

Regularization Parameter ◽

Dimensional Regularization ◽

Present Knowledge ◽

Field Theories ◽

Optical Theorem ◽

Quantum Field Theories ◽

Quantum Field ◽

Infrared Divergences

We discuss the role of iϵ in quantum field theories and suggest that it can be identified with the dimensional regularization parameter iϵ = 4-d thus clarifying and simplifying issues related to the infrared divergences without altering any of the present knowledge in QFT. We further present the relevance of this assumption for the optical theorem.

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NO-GO THEOREMS FOR NONSUPERSYMMETRIC FINITE QUANTUM FIELD THEORIES

Modern Physics Letters A ◽

10.1142/s0217732394000915 ◽

1994 ◽

Vol 09 (12) ◽

pp. 1093-1103 ◽

Cited By ~ 2

Author(s):

PETER GRANDITS

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Gauge Invariance ◽

Field Theories ◽

Special Role ◽

Quantum Field Theories ◽

Quantum Field ◽

Finiteness Conditions ◽

Yukawa Couplings

We consider the finiteness conditions on the Yukawa couplings of a general quantum field theory for groups SU (N). Their gauge invariance leads us to the necessary structure of the couplings, and for some cases the nonexistence of non-trivial solutions is proved. Somewhat miraculously a special role of SU(5) emerges as a possible case of evading these no-go theorems.

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ON GENERALIZED SELF-DUALITY EQUATIONS TOWARDS SUPERSYMMETRIC QUANTUM FIELD THEORIES OF FORMS

Modern Physics Letters A ◽

10.1142/s0217732398001194 ◽

1998 ◽

Vol 13 (14) ◽

pp. 1115-1132 ◽

Cited By ~ 11

Author(s):

LAURENT BAULIEU ◽

CÉLINE LAROCHE

Keyword(s):

The Self ◽

Field Theories ◽

Gauge Fields ◽

Quantum Field Theories ◽

Quantum Field ◽

Time Dimension ◽

Yang Mills ◽

Self Duality ◽

Topological Quantum ◽

Gauge Functions

We classify possible "self-duality" equations for p-form gauge fields in space–time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang–Mills fields (p=1) in 4<D≤8. We impose two crucial requirements. First, there should exist a 2(p+1)-form T-invariant under a subgroup H of SO D. Second, the representation for the SO D curvature of the gauge field must decompose under H in a relevant way. When these criteria are fulfilled, the "self-duality" equations can be candidates of gauge functions for SO D-covariant and H-invariant topological quantum field theories. Intriguing possibilities occur for D≥10 for various p-form gauge fields.

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Mei Symmetry and Invariants of Quasi-Fractional Dynamical Systems with Non-Standard Lagrangians

Symmetry ◽

10.3390/sym11081061 ◽

2019 ◽

Vol 11 (8) ◽

pp. 1061 ◽

Cited By ~ 5

Author(s):

Zhang ◽

Wang

Keyword(s):

Dynamical Systems ◽

Differential Equations ◽

Nonlinear Differential Equations ◽

Field Theories ◽

Quantum Field Theories ◽

Quantum Field ◽

Small Disturbance ◽

Definition Of ◽

Disturbed Motion ◽

Mei Symmetry

Non-standard Lagrangians play an important role in the systems of non-conservative dynamics or nonlinear differential equations, quantum field theories, etc. This paper deals with quasi-fractional dynamical systems from exponential non-standard Lagrangians and power-law non-standard Lagrangians. Firstly, the definition, criterion, and corresponding new conserved quantity of Mei symmetry in this system are presented and studied. Secondly, considering that a small disturbance is applied on the system, the differential equations of the disturbed motion are established, the definition of Mei symmetry and corresponding criterion are given, and the new adiabatic invariants led by Mei symmetry are proposed and proved. Examples also show the validity of the results.

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Formfactors of Relativistic Composite Particle Interactions in Unified Nonlinear Spinorfield Models

Zeitschrift für Naturforschung A ◽

10.1515/zna-1985-0717 ◽

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.

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Categorification of algebraic quantum field theories

Letters in Mathematical Physics ◽

10.1007/s11005-021-01371-8 ◽

2021 ◽

Vol 111 (2) ◽

Author(s):

Marco Benini ◽

Marco Perin ◽

Alexander Schenkel ◽

Lukas Woike

Keyword(s):

Universal Algebra ◽

Finite Groups ◽

Physical Interpretation ◽

Field Theories ◽

Quantum Field Theories ◽

Quantum Field ◽

Algebraic Quantum

AbstractThis paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary AQFTs embed as a coreflective full 2-subcategory into the 2-category of 2AQFTs. Examples of 2AQFTs that do not come from ordinary AQFTs via this embedding are constructed by a local gauging construction for finite groups, which admits a physical interpretation in terms of orbifold theories. A categorification of Fredenhagen’s universal algebra is developed and also computed for simple examples of 2AQFTs.

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