TOPOLOGICAL EFFECTS OF INSTANTON DUE TO DEFECTS

2001 ◽  
Vol 16 (29) ◽  
pp. 1863-1869 ◽  
Author(s):  
DUOJE JIA ◽  
YISHI DUAN
Keyword(s):  
Gauge Field ◽  
Order Parameter ◽  
Delta Function ◽  
Function Form ◽  
Abelian Gauge ◽  
Instanton Action ◽  
Yang Mills ◽  
Instanton Number ◽  
New Variables ◽  
Topological Charges

A new doublet variable is proposed to decompose non-Abelian gauge field for describing the topological effects of instantons due to the defects in appropriate phase of SU(2) Yang–Mills theory. It is shown that the instanton number can be directly related to the isospin defects of the doublet order parameter and contributed from topological charges of these defects. The θ-term in instanton action is found to be the delta-function form of the doublet and the Lagrangian of instantons in terms of new variables is also presented.

MAGNETOFLUID UNIFICATION IN YANG–MILLS LAGRANGIAN

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3630-3637 ◽  
Author(s):  
A. SULAIMAN ◽  
A. FAJARUDIN ◽  
T. P. DJUN ◽  
L. T. HANDOKO
Keyword(s):  
Gauge Symmetry ◽  
Gauge Field ◽  
Lagrangian Approach ◽  
General Description ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Relativistic Fluid ◽  
Physical Consequences

The magnetofluid unification is constructed using lagrangian approach by imposing a non-Abelian gauge symmetry to the matter inside the fluid. The model provides a general description for relativistic fluid interacting with either Abelian or non-Abelian gauge field. The differences with the hybrid magnetofluid model are discussed, and some physical consequences of this formalism are briefly worked out.

Yang–Mills for historians and philosophers

2016 ◽  
Vol 31 (07) ◽  
pp. 1630007
Author(s):  
R. P. Crease
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Mass Term ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Yang Mills ◽  
Sequence Of Events

The phrase “Yang–Mills” can be used (1) to refer to the specific theory proposed by Yang and Mills in 1954; or (2) as shorthand for any non-Abelian gauge theory. The 1954 version, physically speaking, had a famous show-stopping defect in the form of what might be called the “Pauli snag,” or the requirement that, in the Lagrangian for non-Abelian gauge theory the mass term for the gauge field has to be zero. How, then, was it possible for (1) to turn into (2)? What unfolding sequence of events made this transition possible, and what does this evolution say about the nature of theories in physics? The transition between (1) and (2) illustrates what historians and philosophers a century from now might still find instructive and stimulating about the development of Yang–Mills theory.

Discovery of the first Yang–Mills gauge particle — The gluon

2015 ◽  
Vol 30 (34) ◽  
pp. 1530066
Author(s):  
Sau Lan Wu
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Higgs Particle ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Experimental Discovery ◽  
Chen Ning Yang

This article “Discovery of the First Yang–Mills Gauge Particle — The Gluon” is dedicated to Professor Chen Ning Yang. The Gluon is the first Yang–Mills non-Abelian gauge particle discovered experimentally. The Yang–Mills non-Abelian gauge field theory was proposed by Yang and Mills in 1954, sixty years ago. The experimental discovery of the first Yang–Mills non-Abelian gauge particle — the gluon — in the spring of 1979 is summarized, together with some of the subsequent developments, including the role of the gluon in the recent discovery of the Higgs particle.

scholarly journals FIELD STRENGTH FORMULATION OF SU(2) YANG–MILLS THEORY IN THE MAXIMAL ABELIAN GAUGE: PERTURBATION THEORY

1998 ◽  
Vol 13 (23) ◽  
pp. 4049-4076 ◽  
Author(s):  
M. QUANDT ◽  
H. REINHARDT
Keyword(s):  
Perturbation Theory ◽  
Gauge Field ◽  
Trivial Solution ◽  
Semiclassical Approximation ◽  
Tensor Fields ◽  
Abelian Gauge ◽  
Standard Result ◽  
Yang Mills ◽  
Β Function ◽  
The One

We present a reformulation of SU(2) Yang–Mills theory in the maximal Abelian gauge, where the non-Abelian gauge field components are exactly integrated out at the expense of a new Abelian tensor field. The latter can be treated in a semiclassical approximation and the corresponding saddle point equation is derived. Besides the nontrivial solutions, which are presumably related to nonperturbative interactions for the Abelian gauge field, the equation of motion for the tensor fields allows for a trivial solution as well. We show that the semiclassical expansion around this trivial solution is equivalent to the standard perturbation theory. In particular, we calculate the one-loop β-function for the running coupling constant in this approach and reproduce the standard result.

A Hamiltonian for non-Abelian phase factors

1980 ◽  
Vol 58 (5) ◽  
pp. 664-665
Author(s):  
Gerry McKeon
Keyword(s):  
Gauge Field ◽  
Fixed Time ◽  
Phase Factor ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Change Of Variables ◽  
Made In

A change of variables from the non-Abelian gauge field Aμa(x) to the associated phase factor at a fixed time[Formula: see text]is made in the Yang-Mills Hamiltonian. The result is a Schrödinger-like equation for the quantity U[Γ].

scholarly journals Yang-Mills lattice on CUDA

2013 ◽  
Vol 5 (2) ◽  
pp. 184-211 ◽  
Author(s):  
Richárd Forster ◽  
Ágnes Fülöp
Keyword(s):  
Gauge Field ◽  
Equations Of Motion ◽  
Field Tensor ◽  
Classical Lattice ◽  
Regular Lattice ◽  
Abelian Gauge ◽  
Yang Mills ◽  
3 Dimensional ◽  
Classical Fields ◽  
Physical Quantities

Abstract The Yang-Mills fields have an important role in the non- Abelian gauge field theory which describes the properties of the quarkgluon plasma. The real time evolution of the classical fields is given by the equations of motion which are derived from the Hamiltonians to contain the term of the SU(2) gauge field tensor. The dynamics of the classical lattice Yang-Mills equations are studied on a 3 dimensional regular lattice. During the solution of this system we keep the total energy on constant values and it satisfies the Gauss law. The physical quantities are desired to be calculated in the thermodynamic limit. The broadly available computers can handle only a small amount of values, while the GPUs provide enough performance to reach out for higher volumes of lattice vertices which approximates the aforementioned limit.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

scholarly journals CONSTRAINED DYNAMICS OF THE COUPLED ABELIAN TWO-FORM

1993 ◽  
Vol 08 (25) ◽  
pp. 2403-2412 ◽  
Author(s):  
AMITABHA LAHIRI
Keyword(s):  
Phase Space ◽  
Gauge Field ◽  
Antisymmetric Tensor ◽  
Abelian Gauge ◽  
Constrained Dynamics ◽  
Duality Transformations ◽  
Tensor Potential

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an Abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.

Sign in / Sign up

Export Citation Format

Share Document