Quantization of gauge field theories on the front form without gauge constraints. II. Perturbation theory and renormalization

1995 ◽  
Vol 51 (6) ◽  
pp. 3017-3025 ◽  
Author(s):  
Ovid C. Jacob
Keyword(s):  
Perturbation Theory ◽  
Gauge Field ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Front Form

BLOW-UP ANALYSIS FOR LIOUVILLE TYPE EQUATION IN SELF-DUAL GAUGE FIELD THEORIES

2005 ◽  
Vol 07 (02) ◽  
pp. 177-205 ◽  
Author(s):  
HIROSHI OHTSUKA ◽  
TAKASHI SUZUKI
Keyword(s):  
Gauge Field ◽  
Blow Up ◽  
Type Equation ◽  
Singular Part ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Liouville Type ◽  
Blow Up Analysis ◽  
The Green Function ◽  
Dirac Measures

We study the asymptotic behavior of the solution sequence of Liouville type equations observed in various self-dual gauge field theories. First, we show that such a sequence converges to a measure with a singular part that consists of Dirac measures if it is not compact in W1,2. Then, under an additional condition, the singular limit is specified by the method of symmetrization of the Green function.

Gauge field theories on a lattice

1978 ◽  
Vol 110 (2) ◽  
pp. 440-471 ◽  
Author(s):  
K Osterwalder ◽  
E Seiler
Keyword(s):  
Gauge Field ◽  
Gauge Field Theories ◽  
Field Theories

Gauge field theories with covariant star-product

2009 ◽  
Vol 2009 (07) ◽  
pp. 084-084 ◽  
Author(s):  
M Chaichian ◽  
A Tureanu ◽  
G Zet
Keyword(s):  
Gauge Field ◽  
Star Product ◽  
Gauge Field Theories ◽  
Field Theories
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