scholarly journals Observables of the Generalized 2D Yang–Mills Theories on Arbitrary Surfaces: A Path Integral Approach

1997 ◽  
Vol 12 (30) ◽  
pp. 2265-2270 ◽  
Author(s):  
M. Khorrami ◽  
M. Alimohammadi
Keyword(s):  
Partition Function ◽  
Path Integral ◽  
Integral Method ◽  
Integral Approach ◽  
Generating Functional ◽  
Yang Mills ◽  
Path Integral Approach ◽  
Nonorientable Surfaces ◽  
Path Integral Method ◽  
Field Strengths

Using the path integral method, we calculate the partition function and the generating functional (of the field strengths) of the generalized 2-D Yang–Mills theories in the Schwinger–Fock gauge. Our calculation is done for arbitrary 2-D orientable, and also nonorientable surfaces.

scholarly journals Vacuum energy of a nonrelativistic string with nontrivial boundary condition

2018 ◽  
Vol 33 (16) ◽  
pp. 1850097 ◽  
Author(s):  
A. Jahan ◽  
S. Sukhasena
Keyword(s):  
Boundary Condition ◽  
Partition Function ◽  
Classical Solution ◽  
Path Integral ◽  
Integral Method ◽  
Vacuum Energy ◽  
Nonrelativistic Quantum ◽  
Relative Angle ◽  
Path Integral Method

We derive the partition function of a nonrelativistic quantum string whose ends are allowed to freely move along the two-angled straight solid rods. We first derive the classical solution of the model and then use it to derive the partition function utilizing the path integral method. We show that the vacuum energy is the sum of the Lüscher potential plus a term which depends on the relative angle between the rods.

scholarly journals "SCHWINGER MODEL" ON THE FUZZY SPHERE

2010 ◽  
Vol 25 (37) ◽  
pp. 3151-3167 ◽  
Author(s):  
E. HARIKUMAR
Keyword(s):  
Partition Function ◽  
Field Strength ◽  
Dirac Operator ◽  
Path Integral ◽  
Integral Method ◽  
Gauge Fields ◽  
Fuzzy Sphere ◽  
Schwinger Model ◽  
Spinor Fields ◽  
Path Integral Method

In this paper, we construct a model of spinor fields interacting with specific gauge fields on the fuzzy sphere and analyze the chiral symmetry of this "Schwinger model". In constructing the theory of gauge fields interacting with spinors on the fuzzy sphere, we take the approach that the Dirac operator Dq on the q-deformed fuzzy sphere [Formula: see text] is the gauged Dirac operator on the fuzzy sphere. This introduces interaction between spinors and specific one-parameter family of gauge fields. We also show how to express the field strength for this gauge field in terms of the Dirac operators Dq and D alone. Using the path integral method, we have calculated the 2n-point functions of this model and show that, in general, they do not vanish, reflecting the chiral non-invariance of the partition function.

Theoretical study on second hyperpolarizability of H3+ system by path integral method

1997 ◽  
Vol 85 (1-3) ◽  
pp. 1159-1160 ◽  
Author(s):  
H. Nagao ◽  
M. Nakano ◽  
S. Yamada ◽  
K. Ohta ◽  
K. Yamaguchi
Keyword(s):  
Path Integral ◽  
Integral Method ◽  
Theoretical Study ◽  
Second Hyperpolarizability ◽  
Path Integral Method
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