Topics in phenomenology of unified gauge theories of weak, electromagnetic, and strong interactions

A descriptive review is given of gauge theories of weak, electromagnetic and strong interactions. The strong interactions are interpreted in terms of an unbroken Yang-Mills gauge theory based on SU(3) colour symmetry of quarks and gluons. The confinement mechanism of quarks, gluons and other nonsinglets is discussed. The unification of the weak and electromagnetic interactions through a broken Yang-Mills gauge theory is described. In total the basic constituents are then the quarks, leptons and gauge bosons.

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Non-Abelian Gauge Theories of the Strong Interactions

Origin of Symmetries ◽

10.1142/9789814329057_0015 ◽

1991 ◽

pp. 256-259

Author(s):

Steven Weinberg

Keyword(s):

Gauge Theories ◽

Strong Interactions ◽

Abelian Gauge

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On the Derivation of Strong and Electro-weak Interactions in Functional Quantum Theory of the Nonlinear Spinor Field as a Lepton-hadron Model with Quark-confinement

Zeitschrift für Naturforschung A ◽

10.1515/zna-1981-0308 ◽

1981 ◽

Vol 36 (3) ◽

pp. 261-271 ◽

Cited By ~ 1

Author(s):

H. Stumpf

Keyword(s):

Spinor Field ◽

Bound States ◽

Gauge Theories ◽

Weak Interactions ◽

Relativistic Quantum ◽

Strong Interactions ◽

Quark Confinement ◽

Nonlinear Spinor ◽

Calculation Technique ◽

Non Local

In preceding papers the nonlinear spinor field with Heisenberg's dipole regularization was interpreted as a lepton-quark system. In this paper it is demonstrated that this model is able to produce electro-weak as well as strong interactions. For the analytical derivation of these interactions, in Section 1 an improved calculation technique for scattering functionals is developed which corresponds to an interaction representation of relativistic quantum fields with inclusion of bound states, and which is suited for a comparison of its results with conventional field theories, in particular gauge theories. In Section 2 the projection technique from the spinor field into the lepton-quark representation is discussed in detail. The principle which allows the derivation of the various interactions consists in the calculation and incorporation of universal (local) bosons and non-universal (non-local) bosons occuring as bound states of the spinor field, resp., leptonquark fields, into the scattering functional equation. This is performed for local bosons in Section 1 and for non-local bosons in Section 3. In Section 4 it is shown that a subsequent unitarization which corresponds to quark confinement leads to selection rules for lepton-baryon processes which qualitatively correspond to those of grand unification gauge theories. Numerical calculations will be given in subsequent papers

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Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux attachment to ℤ2 lattice gauge theories

Science Advances ◽

10.1126/sciadv.aav7444 ◽

2019 ◽

Vol 5 (10) ◽

pp. eaav7444 ◽

Cited By ~ 22

Author(s):

Luca Barbiero ◽

Christian Schweizer ◽

Monika Aidelsburger ◽

Eugene Demler ◽

Nathan Goldman ◽

...

Keyword(s):

Ultracold Atoms ◽

Optical Lattices ◽

Gauge Theories ◽

High Temperature Superconductivity ◽

Strongly Correlated Electrons ◽

Gauge Fields ◽

Strong Interactions ◽

Strongly Correlated ◽

Lattice Gauge ◽

Lattice Gauge Theories

From the standard model of particle physics to strongly correlated electrons, various physical settings are formulated in terms of matter coupled to gauge fields. Quantum simulations based on ultracold atoms in optical lattices provide a promising avenue to study these complex systems and unravel the underlying many-body physics. Here, we demonstrate how quantized dynamical gauge fields can be created in mixtures of ultracold atoms in optical lattices, using a combination of coherent lattice modulation with strong interactions. Specifically, we propose implementation of ℤ2 lattice gauge theories coupled to matter, reminiscent of theories previously introduced in high-temperature superconductivity. We discuss a range of settings from zero-dimensional toy models to ladders featuring transitions in the gauge sector to extended two-dimensional systems. Mastering lattice gauge theories in optical lattices constitutes a new route toward the realization of strongly correlated systems, with properties dictated by an interplay of dynamical matter and gauge fields.

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Gauge theories of strong interactions, spectral-function sum rules, and chiral-symmetry breaking

Physical Review D ◽

10.1103/physrevd.9.2355 ◽

1974 ◽

Vol 9 (8) ◽

pp. 2355-2364 ◽

Cited By ~ 5

Author(s):

Rabindra N. Mohapatra

Keyword(s):

Symmetry Breaking ◽

Spectral Function ◽

Chiral Symmetry ◽

Gauge Theories ◽

Sum Rules ◽

Chiral Symmetry Breaking ◽

Strong Interactions

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Quantum chromodynamics: A non-Abelian gauge theory

From Random Walks to Random Matrices ◽

10.1093/oso/9780198787754.003.0013 ◽

2019 ◽

pp. 209-236

Author(s):

Jean Zinn-Justin

Keyword(s):

Quantum Chromodynamics ◽

Particle Physics ◽

Gauge Theories ◽

Brst Symmetry ◽

Parallel Transport ◽

Strong Interactions ◽

Asymptotic Freedom ◽

Abelian Gauge ◽

Lattice Gauge ◽

Colour Group

Chapter 13 is devoted to some aspects of quantum chromodynamics (QCD), the part of the Standard Model of particle physics responsible for strong interactions and based on an SU(3) gauge symmetry (the colour group) and gluon gauge fields. First, the geometry of non–Abelian gauge theories, based on parallel transport, is recalled. This leads naturally to the construction of lattice gauge theories with link variables and a plaquette action. The lattice model gives a hint of confinement. QCD is quantized in the temporal of Weyl gauge. Its renormalization involves the BRST symmetry. Its renormalization group properties with asymptotic freedom are emphasized. The infinite degeneracy of the semi–classical ground state can be associated to a winding number. Barrier penetration effects, related to the existence of instantons, lead to the existence of theta vacua and the problem of strong CP violation. Other issues considered are chiral symmetry and axial anomaly.

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