Gauge theory of elementary particle physics

A pure gauge is the set of field configurations obtained by a gauge transformation on the null-field configuration, i. For instance, in Newtonian dynamics , if two configurations are related by a Galilean transformation an inertial change of reference frame they represent the same physical situation. Neutrino oscillation is a natural theoretical possibility in gauge theories if we do not a priori exclude the right-hand components of neutrino fields.

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The set of possible gauge transformations of the entire configuration of a given gauge theory also forms a group, the gauge group of the theory. Quantum electrodynamics is an abelian gauge theory with the symmetry group U 1 and has one gauge field, the electromagnetic four-potentialwith the photon being the gauge boson.

Gauge Theory of Elementary Particle Physics

Mishandling gauge dependence calculations in boundary conditions is a frequent source of anomaliesand approaches to anomaly avoidance classifies gauge theories [ clarification needed ]. After the development of quantum mechanicsWeyl, Vladimir Fock and Fritz London modified gauge by replacing the scale factor with a complex quantity and turned the scale transformation into a change of phasewhich is a U 1 gauge symmetry.

Yang Bai Bogdan A. No eBook available Amazon.

In mathematical terms, the theory involves a fiber bundle in which the fiber at each point of the base space consists of possible coordinate bases for use when describing the values of objects at that point. An appropriate covariant derivative is then.

It explains technique and methodology with simple exposition backed up by many illustrative examples.


Find out more about journal subscriptions at your site. The book focuses on the strong interaction theory of quantum chromodynamics and the electroweak interaction theory of Glashow, Weinberg, and Salam, as well as the grand unification theory, exemplified by the simplest SU 5 model.

Gauge principle Aharonov—Bohm effect Coulomb gauge Electroweak theory Gauge covariant derivative Gauge fixing Gauge gravitation theory Gauge group mathematics Kaluza—Klein theory Lorenz gauge Quantum chromodynamics Gluon field Gluon field strength tensor Quantum electrodynamics Electromagnetic four-potential Electromagnetic tensor Quantum field theory Quantum gauge theory Standard Model Standard Model mathematical formulation Symmetry breaking Symmetry in physics Symmetry in quantum mechanics Ward identities Yang—Mills theory Yang—Mills existence and mass gap PRL symmetry breaking papers.

A pure gauge is the set of field configurations obtained by a gauge transformation on the null-field configuration, i. This involves a renormalization of the theory.

Physicists with an interest in general aspects of gauge theory will also find the book highly useful. The transformations between possible gauges, called gauge transformationsform a Lie group—referred to as the symmetry group or the gauge group of the theory. It presupposes both a knowledge of elementary particle phenomenology and of quantum field theory at the level taught in first-year postgraduate lecture courses.

The minimal standard model is enlarged with triplet or singly or doubly charged singlet scalars as well as fermions in singlet and doublet representations. Other remarks about this model are also included. Feb J Phyysics Energ Phys. The earliest field theory having a gauge symmetry was Maxwell 's formulation, in —65, of electrodynamics " A Dynamical Theory of the Electromagnetic Field " which stated that any function whose curl physic can therefore normally be written as a gradient —could be added to the vector potential without affecting the magnetic field.

Gauge Theory of Elementary Particle Physics

gaauge In order to spell out a mathematical configuration, one must choose a particular coordinate basis at each point a local section of the fiber bundle and express the values of the objects of the theory usually " fields " in the physicist's sense using this basis. More sophisticated quantum field theories, in particular those that involve a non-abelian gauge group, break the gauge symmetry within the techniques of perturbation theorj by introducing additional fields the Faddeev—Popov ghosts and counterterms motivated by anomaly cancellationin an approach known as BRST quantization.

This page was last edited on 3 Octoberat When paarticle a theory is quantized [ clarification needed ]the quanta of the gauge fields are called gauge bosons. Here are the instructions how to enable JavaScript in your web browser. Quantization schemes intended to simplify such computations such as canonical quantization may be called perturbative quantization schemes. To find out more, see our Privacy and Cookies policy.

Gauge theory

Make a recommendation Recommend this journal To gain access to this content, please complete the Recommendation Form and we will follow up with your librarian or Institution on your behalf. When a quantity occurring in the mathematical configuration is not just a number but has some geometrical significance, such as a velocity or an axis of rotation, its representation as numbers arranged in a vector or matrix is also changed by a coordinate transformation.

Gauge symmetry has become one of the most basic concepts in the theoretical framework for understanding fundamental interactions: The interpretation of the interaction Lagrangian in quantum field theory is of scalar bosons interacting by the exchange of these gauge physiccs. This explained the electromagnetic field effect on the wave function of a charged quantum mechanical particle.

In most gauge theories, the set of possible transformations of the abstract gauge basis at an individual point in space and time is a finite-dimensional Lie group. Precise computations in such schemes often require supercomputingand are therefore less well-developed currently than other schemes.

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