scholarly journals One loop renormalization of the non-local gauge invariant operator min{U}∫d4x(AμaU)2 in QCD

2007 ◽  
Vol 651 (2-3) ◽  
pp. 253-256 ◽  
Author(s):  
J.A. Gracey
Keyword(s):  
Invariant Operator ◽  
Gauge Invariant ◽  
Local Gauge ◽  
Non Local

scholarly journals Approaches to linear local gauge-invariant observables in inflationary cosmologies

2018 ◽  
Vol 35 (11) ◽  
pp. 115002 ◽  
Author(s):  
Markus B Fröb ◽  
Thomas-Paul Hack ◽  
Igor Khavkine
Keyword(s):  
Gauge Invariant ◽  
Local Gauge

Infrared divergences and a non-local gauge for superspace Yang-Mills theory

1984 ◽  
Vol 244 (2) ◽  
pp. 454-468 ◽  
Author(s):  
L.F. Abbott ◽  
M.T. Grisaru ◽  
D. Zanon
Keyword(s):  
Yang Mills ◽  
Local Gauge ◽  
Non Local ◽  
Infrared Divergences

scholarly journals A COMPLETE AND MINIMAL CATALOGUE OF MSSM GAUGE INVARIANT MONOMIALS

2010 ◽  
Vol 25 (17) ◽  
pp. 3375-3387 ◽  
Author(s):  
ANDERS BASBØLL
Keyword(s):  
Linear Combination ◽  
Nonnegative Integer ◽  
Invariant Operator ◽  
Sixth Order ◽  
Gauge Invariant

We present a complete and minimal catalogue of MSSM gauge invariant monomials. That is, the catalogue of Gherghetta, Kolda and Martin is elaborated to include generational structure for all monomials. Any gauge invariant operator can be built as a linear combination of elements of the catalogue lifted to nonnegative integer powers. And the removal of any one of the monomials would deprive the catalogue of this feature. It contains 712 monomials, plus 3 generations of right-handed neutrinos if one extends the model to the νMSSM. We note that νMSSM flat directions can all be lifted by the sixth-order superpotential compared to the ninth-order needed in MSSM.

scholarly journals Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang–Mills theories

2015 ◽  
Vol 12 (10) ◽  
pp. 1550104 ◽  
Author(s):  
Alcides Garat
Keyword(s):  
Field Strength ◽  
Gauge Invariant ◽  
Invariant Method ◽  
Yang Mills ◽  
Local Gauge ◽  
Abelian Field ◽  
Local Observables ◽  
Block Diagonal

A new local gauge invariant method is introduced in order to maximally simplify the expression for a SU(2) non-Abelian field strength. The new tetrads introduced in previous works are going to play a fundamental role in the algorithm presented in this paper. Three new local gauge invariant objects are going to guide us through the process of making a field strength block diagonal. The process is also covariant. Any nontrivial isospace field strength projection will become block diagonal through this gauge invariant algorithm. As an application we will find new local observables in Yang–Mills theories.

EXACT SOLUTIONS FOR SELF-DUAL SU(2) GAUGE THEORY WITH AXIAL SYMMETRY

2001 ◽  
Vol 16 (11) ◽  
pp. 685-692 ◽  
Author(s):  
G. ZET ◽  
V. MANTA ◽  
C. BANDAC
Keyword(s):  
Gauge Theory ◽  
Axial Symmetry ◽  
Dimensional Space ◽  
Space Time ◽  
Field Equations ◽  
Metric Tensor ◽  
Gauge Invariant ◽  
Local Gauge ◽  
Dimensional Space Time ◽  
Strength Tensor

A model of SU(2) gauge theory is constructed in terms of local gauge-invariant variables defined over a four-dimensional space–time endowed with axial symmetry. A metric tensor gμν is defined starting with the components [Formula: see text] of the strength tensor and its dual [Formula: see text]. The components gμν are interpreted as new local gauge-invariant variables. Imposing the condition that the new metric coincides with the initial metric we obtain the field equations for the considered ansatz. We obtain the same field equations using the condition of self-duality. It is concluded that the self-dual variables are compatible with the axial symmetry of the space–time. A family of analytical solutions of the gauge field equations is also obtained. The solutions have the confining properties. All the calculations are performed using the GRTensorII computer algebra package, running on the MapleV platform.

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