scholarly journals Some problems concerning interchange of integration order in functional integral formalism of U(1) gauge field theories

2001 ◽  
Vol 503 (3-4) ◽  
pp. 430-432 ◽  
Author(s):  
Wei-Min Sun ◽  
Xiang-Song Chen ◽  
Fan Wang
Keyword(s):  
Gauge Field ◽  
Gauge Field Theories ◽  
Functional Integral ◽  
Field Theories ◽  
Integral Formalism ◽  
Functional Integral Formalism ◽  
Integration Order

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.

An unified approach to inelastic light scattering in Keldysh–Schwinger functional integral formalism

2015 ◽  
Vol 29 (07) ◽  
pp. 1550040 ◽  
Author(s):  
Hyun Cheol Lee
Keyword(s):  
Light Scattering ◽  
Cross Sections ◽  
Golden Rule ◽  
Functional Integral ◽  
Integral Formalism ◽  
Inelastic Light Scattering ◽  
Scattering Geometry ◽  
The One ◽  
Resonant Part ◽  
Functional Integral Formalism

We propose a theoretical framework which can treat the nonresonant and the resonant inelastic light scattering on an equal footing in the form of correlation function, employing Keldysh–Schwinger functional integral formalism. The interference between the nonresonant and the resonant process can be also incorporated in this framework. This approach is applied to the magnetic Raman scattering of two-dimensional antiferromagnetic insulators. The entire set of the scattering cross-sections are obtained at finite temperature, the result for the resonant part agrees with the one obtained by the conventional Fermi golden rule at zero temperature. The interference contribution is shown to be very sensitive to the scattering geometry and the band structure.

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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