scholarly journals Fractal Structure in Gauge Fields

Physics ◽  
2019 ◽  
Vol 1 (1) ◽  
pp. 103-110 ◽  
Author(s):  
Airton Deppman ◽  
Eugenio Megías
Keyword(s):  
Field Theory ◽  
Fractal Dimension ◽  
Quantum Chromodynamics ◽  
Fractal Structure ◽  
High Energy ◽  
Gauge Fields ◽  
Yang Mills ◽  
Fractal Properties ◽  
High Energy Collisions ◽  
Power Law Distributions

In this work, we investigate fractal properties in Yang–Mills fields, in particular their Hausdorff fractal dimension. Fractal properties of quantum chromodynamics (QCD) have been suggested as the origin of power-law distributions in high energy collisions, as well as of non-extensive properties that have been observed experimentally. The fractal dimension obtained here can be calculated directly from the properties of the field theory.

scholarly journals Linear Yang–Mills Theory as a Homotopy AQFT

2019 ◽  
Vol 378 (1) ◽  
pp. 185-218 ◽  
Author(s):  
Marco Benini ◽  
Simen Bruinsma ◽  
Alexander Schenkel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Poisson Structure ◽  
Gauge Fields ◽  
Quantum Field ◽  
Lorentzian Manifolds ◽  
Algebraic Quantum Field Theory ◽  
Yang Mills ◽  
Algebraic Quantum ◽  
Klein Gordon

AbstractIt is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein–Gordon and linear Yang–Mills theory on globally hyperbolic Lorentzian manifolds admits retarded/advanced trivializations (analogs of retarded/advanced Green’s operators). Quantization of the associated unshifted Poisson structure determines a unique (up to equivalence) homotopy algebraic quantum field theory (AQFT), i.e. a functor that assigns differential graded $$*$$ ∗ -algebras of observables and fulfills homotopical analogs of the AQFT axioms. For Klein–Gordon theory the construction is equivalent to the standard one, while for linear Yang–Mills it is richer and reproduces the BRST/BV field content (gauge fields, ghosts and antifields).

scholarly journals Fractal Structures of Yang–Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics

Physics ◽  
2020 ◽  
Vol 2 (3) ◽  
pp. 455-480
Author(s):  
Airton Deppman ◽  
Eugenio Megías ◽  
Débora P. P. Menezes
Keyword(s):  
Power Law ◽  
High Energy Physics ◽  
Thermodynamic Description ◽  
Hadron Collider ◽  
High Energy ◽  
Fractal Structures ◽  
Yang Mills ◽  
Physics Experiments ◽  
Power Law Distributions ◽  
Energy Physics

In this work, we provide an overview of the recent investigations on the non-extensive Tsallis statistics and its applications to high energy physics and astrophysics, including physics at the Large Hadron Collider (LHC), hadron physics, and neutron stars. We review some recent investigations on the power-law distributions arising in high energy physics experiments focusing on a thermodynamic description of the system formed, which could explain the power-law behavior. The possible connections with a fractal structure of hadrons is also discussed. The main objective of the present work is to delineate the state-of-the-art of those studies and show some open issues that deserve more careful investigation. We propose several possibilities to test the theory through analyses of experimental data.

scholarly journals Fractional Charge of Quarks and Fractal Properties of Hadrons

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
A. Bhattacharya ◽  
◽  
S. Pal ◽  
D. S. Bhattacharya ◽  
P. Dhara ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Quantum Hall Effect ◽  
Fractal Structure ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Quasi Particle ◽  
Fractional Charge ◽  
Fractional Quantum Hall ◽  
Fractal Properties

The origin of fractional charge of a quark is investigated considering the fractal structure of a hadron. Hadron is suggested to be a fractal object with fractal dimension 9/2. Describing quark as a quasiparticle in an analogy with quasi particle in Fractional Quantum Hall Effect, the filling factors are extracted which show large fractional plateau. It is suggested that quarks behave like quasi particles and the fractional charges of quarks can be attributed to the fractal behavior of a hadron.

scholarly journals Octonionic ternary gauge field theories revisited

2014 ◽  
Vol 11 (03) ◽  
pp. 1450013 ◽  
Author(s):  
Carlos Castro
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Gauge Field Theory ◽  
Gauge Fields ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Closure Relations ◽  
Nonassociative Geometry

An octonionic ternary gauge field theory is explicitly constructed based on a ternary-bracket defined earlier by Yamazaki. The ternary infinitesimal gauge transformations do obey the key closure relations [δ1, δ2] = δ3. An invariant action for the octonionic-valued gauge fields is displayed after solving the previous problems in formulating a nonassociative octonionic ternary gauge field theory. These octonionic ternary gauge field theories constructed here deserve further investigation. In particular, to study their relation to Yang–Mills theories based on the G2 group which is the automorphism group of the octonions and their relevance to noncommutative and nonassociative geometry.

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

Unification of Gauge Forces and Gravity using Tangled Vortex Knots and Entanglement Dynamics

2020 ◽  
Author(s):  
Mrittunjoy Guha Majumdar
Keyword(s):  
Field Theory ◽  
Short Range ◽  
Gauge Fields ◽  
Entanglement Dynamics ◽  
Unified Field Theory ◽  
Linear Dynamics ◽  
Unified Field ◽  
The Standard Model ◽  
Theory Of Everything ◽  
The Continuum

In this paper, the statistics of excitation-tangles in a postulated background ideal-superfluid field is studied. The structure of the Standard Model is derived in terms of tangle vortex-knots and soliton. Gravity is observed in terms of torsion and curvature in the continuum. In this way, non-linear dynamics and excitations give rise to a unified field theory as well as a Theory of Everything. As a result of this unification, spacetime and matter are shown to be fundamentally equivalent, while gauge fields arise from reorientation and excitations of the the fundamental underlying field. Finally, the equivalence of topological and quantum entanglement is explored to posit a theory of everything in terms of long- and short-range entanglement between fundamental quantum units (bits) of information.

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