scholarly journals Path Integral Quantization of Regular Lagrangian

2018 ◽  
Vol 10 (1) ◽  
pp. 9
Author(s):  
Ola A. Jarabah
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Integral Method ◽  
Separation Of Variables ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Jacobi Function ◽  
Path Integral Quantization ◽  
Separation Of Variables Method ◽  
Path Integral Method

Path integral formulation based on the canonical method is discussed. The Hamilton Jacobi function for regular Lagrangian is obtained using separation of variables method. This function is used to quantize regular systems using path integral method. The path integral is obtained as integration over the canonical phase space coordinates. One illustrative example is considered to demonstrate the application of our formalism.

scholarly journals ONE-LOOP VACUUM ENERGY IN NON-PARALLEL D1-BRANES: A PATH INTEGRAL FORMULATION

2010 ◽  
Vol 25 (08) ◽  
pp. 619-625 ◽  
Author(s):  
A. JAHAN
Keyword(s):  
String Theory ◽  
Path Integral ◽  
Integral Method ◽  
Vacuum Energy ◽  
Bosonic String ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Bosonic String Theory ◽  
Path Integral Method ◽  
The One

We derive the one-loop vacuum energy of the bosonic string theory in a system of non-parallel D1-branes using the path integral method.

scholarly journals QUANTIZATION OF SINGULAR SYSTEMS WITH SECOND-ORDER LAGRANGIANS

2002 ◽  
Vol 17 (36) ◽  
pp. 2383-2391 ◽  
Author(s):  
SAMI I. MUSLIH
Keyword(s):  
Path Integral ◽  
Singular Systems ◽  
Second Order ◽  
Integral Formulation ◽  
Path Integral Formulation ◽  
Path Integral Quantization

The path integral formulation of singular systems with second-order Lagrangians is constructed by using the canonical method. The path integral quantization of Podolsky electrodynamics is studied.

scholarly journals PATH-INTEGRAL FORMULATION OF CASIMIR EFFECTS IN SUPERSYMMETRIC QUANTUM ELECTRODYNAMICS

1999 ◽  
Vol 14 (16) ◽  
pp. 1033-1042 ◽  
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.

ANTIFERROMAGNETIC ORDERING IN THE HUBBARD MODEL: SLAVE BOSON APPROACH, PATH-INTEGRAL FORMULATION

1989 ◽  
Vol 03 (12) ◽  
pp. 2119-2128
Author(s):  
Piotr Wróbel ◽  
Tadeusz K. Kopeć
Keyword(s):  
Hubbard Model ◽  
Path Integral ◽  
Integral Method ◽  
Magnetic Phase ◽  
Magnetic Phase Diagram ◽  
Square Lattice ◽  
Antiferromagnetic Order ◽  
Path Integral Formulation ◽  
Antiferromagnetic Ordering ◽  
Path Integral Method

The magnetic phase diagram (temperature versus doping) for the Hubbard model in the large U/t limit has been constructed by using the path-integral method. The antiferromagnetic order parameter has been represented in terms of fermion operators which correspond to neutral, spin one-half quasi-particles, spinons. Numerical calculations have been performed for the two-dimensional square lattice. A stable antiferromagnetic phase for the half-filled band has been found below a critical temperature TC=J where J=4t2/U is the superexchange interaction. It has been shown that antiferromagnetism is destroyed by doping with about 15% of holes for t/J=10. The results are discussed in the light of recent experiments for high TC oxides.

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