Gauge-invariant formulation of the dynamics of the quantized Yang-Mills field

1975 ◽  
Vol 12 (10) ◽  
pp. 3145-3158 ◽  
Author(s):  
Richard P. Treat
Keyword(s):  
Gauge Invariant ◽  
Yang Mills ◽  
Invariant Formulation ◽  
Mills Field

FOUR-DIMENSIONAL YANG-MILLS THEORY IN LOCAL GAUGE INVARIANT VARIABLES

1994 ◽  
Vol 09 (25) ◽  
pp. 2281-2292 ◽  
Author(s):  
F.A. LUNEV
Keyword(s):  
Gauge Invariant ◽  
Yang Mills ◽  
Local Gauge ◽  
Invariant Formulation ◽  
General Method

The general method that allows to formulate 4-D SU(N) Yang-Mills theory in terms of only local gauge invariant variables is presented. For the case N=2, that is discussed in details, this gauge invariant formulation appears to be very similar to R2-gravity.

INVARIANT CORRELATION FUNCTIONS, SUPERCONVERGENCE SUM RULES, AND ELECTRIC-MAGNETIC DUALITY

1988 ◽  
Vol 03 (05) ◽  
pp. 1155-1182 ◽  
Author(s):  
HIDENAGA YAMAGISHI
Keyword(s):  
Sum Rules ◽  
Close Relation ◽  
Asymptotic Freedom ◽  
Sum Rule ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Magnetic Components ◽  
Symmetric Decomposition ◽  
Chern Simons ◽  
Mills Field

The gauge-invariant correlation function for the Yang-Mills field strengths is shown to admit a symmetric decomposition into electric and magnetic components. The spectral weights are seen to obey a sum rule of the superconvergence type, owing to asymptotic freedom. The close relation between the dielectric function, electric-magnetic duality, and the algebra of generalized Chern-Simons charges is illustrated for the linearized Yang-Mills-Higgs system.

FADDEEV–POPOV GHOSTS

2010 ◽  
Vol 25 (06) ◽  
pp. 1079-1089 ◽  
Author(s):  
LUDVIG DMITRIEVICH FADDEEV
Keyword(s):  
Gauge Invariance ◽  
Degrees Of Freedom ◽  
Lorentz Invariance ◽  
Local Fields ◽  
Theoretical Physics ◽  
Covariant Quantization ◽  
Widespread Application ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Mills Field

In the terminology of theoretical physics, the term "ghost" is used to identify an object that has no real physical meaning. The name "Faddeev–Popov ghosts" is given to the fictitious fields that were originally introduced in the construction of a manifestly Lorentz covariant quantization of the Yang–Mills field. Later, these objects acquired more widespread application, including in string theory. The necessity of ghosts is associated with gauge invariance. In gauge invariant theories, one usually has to deal with local fields, whose number exceeds that of physical degrees of freedom. For example in electrodynamics, in order to maintain manifest Lorentz invariance, one uses a four component vector potential Aμ(x), whereas the photon has only two polarizations. Thus, one needs a suitable mechanism in order to get rid of the unphysical degrees of freedom. Introducing fictitious fields, the ghosts, is one way of achieving this goal.

scholarly journals Gauge-invariant formulation of the d=3 Yang–Mills theory

2000 ◽  
Vol 493 (1-2) ◽  
pp. 169-174 ◽  
Author(s):  
Dmitri Diakonov ◽  
Victor Petrov
Keyword(s):  
Gauge Invariant ◽  
Yang Mills ◽  
Invariant Formulation

scholarly journals Study of the gauge invariant, nonlocal mass operatorTr∫d4xFμν(D2)−1Fμνin Yang-Mills theories

2005 ◽  
Vol 72 (10) ◽  
Author(s):  
M. A. L. Capri ◽  
D. Dudal ◽  
J. A. Gracey ◽  
V. E. R. Lemes ◽  
R. F. Sobreiro ◽  
...  
Keyword(s):  
Gauge Invariant ◽  
Yang Mills

Existence of Charged States of the Yang‐Mills Field

1970 ◽  
Vol 11 (11) ◽  
pp. 3258-3274 ◽  
Author(s):  
Hendricus G. Loos
Keyword(s):  
Yang Mills ◽  
Mills Field
Sign in / Sign up

Export Citation Format

Share Document