scholarly journals Invariant background field method for chiral lagrangians including Wess-Zumino terms

1991 ◽  
Vol 210 (1) ◽  
pp. 81-111 ◽  
Author(s):  
R Akhoury ◽  
A Alfakih
Keyword(s):  
Chiral Lagrangians ◽  
Background Field ◽  
Field Method ◽  
Background Field Method

scholarly journals NONCOMMUTATIVITY AND NON-ANTICOMMUTATIVITY PERTURBATIVE QUANTUM GRAVITY

2012 ◽  
Vol 27 (13) ◽  
pp. 1250075 ◽  
Author(s):  
MIR FAIZAL
Keyword(s):  
Quantum Gravity ◽  
Lagrangian Density ◽  
Background Field ◽  
Field Method ◽  
Gauge Fixing ◽  
Perturbative Quantum ◽  
Background Field Method

In this paper, we will study perturbative quantum gravity on supermanifolds with both noncommutativity and non-anticommutativity of spacetime coordinates. We shall first analyze the BRST and the anti-BRST symmetries of this theory. Then we will also analyze the effect of shifting all the fields of this theory in background field method. We will construct a Lagrangian density which apart from being invariant under the extended BRST transformations is also invariant under on-shell extended anti-BRST transformations. This will be done by using the Batalin–Vilkovisky (BV) formalism. Finally, we will show that the sum of the gauge-fixing term and the ghost term for this theory can be elegantly written down in superspace with a two Grassmann parameter.

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.

scholarly journals Boundary contributions of on-shell recursion relations with multiple-line deformation

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
Chang Hu ◽  
Xiao-Di Li ◽  
Yi Li
Keyword(s):  
Recursion Relation ◽  
Background Field ◽  
Field Method ◽  
Tree Level ◽  
Link Type ◽  
Multiple Line ◽  
Boundary Operators ◽  
Background Field Method ◽  
The Right ◽  
Boundary Behaviors

AbstractThe on-shell recursion relation has been recognized as a powerful tool for calculating tree-level amplitudes in quantum field theory, but it does not work well when the residue of the deformed amplitude $$\hat{A}(z)$$ A ^ ( z ) does not vanish at infinity of z. However, in such a situation, we still can get the right amplitude by computing the boundary contribution explicitly. In Arkani-Hamed and Kaplan (JHEP 04:076. 10.1088/1126-6708/2008/04/076. arXiv:0801.2385, 2008), the background field method was first used to analyze the boundary behaviors of amplitudes with two deformed external lines in different theories. The same method has been generalized to calculate the explicit boundary operators of some amplitudes with BCFW-like deformation in Jin and Feng (JHEP 04:123. 10.1007/JHEP04(2016)123. arXiv:1507.00463, 2016). In this paper, we will take a step further to generalize the method to the case of multiple-line deformation, and to show how the boundary behaviors (even the boundary contributions) can be extracted in the method.

Stochastic quantization of the nonlinear sigma model and the background field method

1994 ◽  
Vol 33 (6) ◽  
pp. 1241-1250
Author(s):  
E. Abdalla ◽  
F. M. de Carvalho Filho ◽  
Ricardo L. Viana
Keyword(s):  
Sigma Model ◽  
Background Field ◽  
Field Method ◽  
Nonlinear Sigma Model ◽  
Stochastic Quantization ◽  
Background Field Method
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