Vacuum energy of a nonrelativistic string with nontrivial boundary condition

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.

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PATH-INTEGRAL FORMULATION OF CASIMIR EFFECTS IN SUPERSYMMETRIC QUANTUM ELECTRODYNAMICS

Modern Physics Letters A ◽

10.1142/s0217732399001097 ◽

1999 ◽

Vol 14 (16) ◽

pp. 1033-1042 ◽

Cited By ~ 4

Author(s):

HIROYUKI ABE ◽

JUNYA HASHIDA ◽

TAIZO MUTA ◽

AGUS PURWANTO

Keyword(s):

Boundary Condition ◽

Path Integral ◽

Quantum Electrodynamics ◽

Integral Method ◽

Mass Term ◽

Casimir Energy ◽

Mass Dependence ◽

Path Integral Formulation ◽

Suitable Boundary Condition ◽

Path Integral Method

The path-integral method of calculating the Casimir energy between two parallel conducting plates is developed within the framework of supersymmetric quantum electrodynamics at vanishing temperature as well as at finite temperature. The choice of the suitable boundary condition for the photino on the plates is argued and the physically acceptable condition is adopted which eventually breaks the supersymmetry. The photino mass term is introduced in the Lagrangian and the photino mass dependence of the Casimir energy and pressure is fully investigated.

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"SCHWINGER MODEL" ON THE FUZZY SPHERE

Modern Physics Letters A ◽

10.1142/s0217732310034079 ◽

2010 ◽

Vol 25 (37) ◽

pp. 3151-3167 ◽

Cited By ~ 3

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.

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

Modern Physics Letters A ◽

10.1142/s0217732397002338 ◽

1997 ◽

Vol 12 (30) ◽

pp. 2265-2270 ◽

Cited By ~ 11

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.

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