scholarly journals Yang-Mills Ground State in 2+1 Dimensions and Temporal Gauge

2008 ◽  
Author(s):  
Jeff Greensite
Keyword(s):  
Ground State ◽  
Yang Mills ◽  
Temporal Gauge

On Yang-Mills theory in the temporal gauge

1989 ◽  
Vol 421 (1861) ◽  
pp. 279-301 ◽  
Keyword(s):  
Functional Equation ◽  
Wave Function ◽  
Power Series ◽  
Ground State ◽  
Constraint Equation ◽  
Time Dimension ◽  
Yang Mills ◽  
Temporal Gauge ◽  
Vector Bosons ◽  
Three Space

A set of partial differential equations are obtained that are equivalent to the gauge constraint functional equation in the temporal gauge for a set of vector bosons interacting through a Yang-Mills type Lagrangian. This is done by expanding the wave function in a functional power series. The first two orders are solved explicitly for the case of two space and one time dimension. A set of solutions is also presented of the gauge constraint equation to the first two orders for three space and one time dimension. A generalization to 3 + 1 dimensions of a conjecture in 2 + 1 dimensions made by Feynman for the ground state of this problem is examined. It is shown that the conjectured wave function satisfies the gauge constraint and Schrodinger equations to second order in the fields.

On the stability of the perturbative ground state in non-abelian Yang-Mills theories

1985 ◽  
Vol 154 (5-6) ◽  
pp. 411-417 ◽  
Author(s):  
Maurizio Consoli ◽  
Giuliano Preparata
Keyword(s):  
Ground State ◽  
Yang Mills ◽  
The Stability

scholarly journals FIELD DECOMPOSITION AND THE GROUND STATE STRUCTURE OF SU(2) YANG–MILLS THEORY

2002 ◽  
Vol 17 (25) ◽  
pp. 3681-3688 ◽  
Author(s):  
LISA FREYHULT
Keyword(s):  
Effective Potential ◽  
Ground State ◽  
Scalar Fields ◽  
Background Field ◽  
Field Method ◽  
Gauge Fields ◽  
Ground State Structure ◽  
State Structure ◽  
Yang Mills ◽  
Background Field Method

We compute the effective potential of SU(2) Yang–Mills theory using the background field method and the Faddeev–Niemi decomposition of the gauge fields. In particular, we find that the potential will depend on the values of two scalar fields in the decomposition and that its structure will give rise to a symmetry breaking.

Diagrammatic expansions for the Yang-Mills ground state

1986 ◽  
Vol 278 (3) ◽  
pp. 721-737 ◽  
Author(s):  
Hue Sun Chan
Keyword(s):  
Ground State ◽  
Yang Mills

scholarly journals Thermal Ground State in Yang-Mills Thermodynamics

2011 ◽  
Author(s):  
Ralf Hofmann ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi
Keyword(s):  
Ground State ◽  
Yang Mills
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