CASIMIR ENERGY CALCULATIONS FOR CHERN-SIMONS SURFACES AND DIELECTRIC PLATES WITHIN THE FORMALISM OF LATTICE QUANTUM FIELD THEORY

2010 ◽  
Author(s):  
Maxim Ulybyshev
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lattice Quantum Field Theory ◽  
Casimir Energy ◽  
Quantum Field ◽  
Energy Calculations ◽  
Lattice Quantum ◽  
Chern Simons

scholarly journals MONTE CARLO CALCULATION OF THE LATERAL CASIMIR FORCES BETWEEN RECTANGULAR GRATINGS WITHIN THE FORMALISM OF LATTICE QUANTUM FIELD THEORY

2011 ◽  
Vol 26 (16) ◽  
pp. 2743-2756 ◽  
Author(s):  
OLEG PAVLOVSKY ◽  
MAXIM ULYBYSHEV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Lattice Quantum Field Theory ◽  
Quantum Electrodynamics ◽  
Monte Carlo Calculation ◽  
Quantum Field ◽  
Casimir Forces ◽  
Lattice Quantum

We propose a new Monte Carlo method for calculation of the Casimir forces. Our method is based on the formalism of noncompact lattice quantum electrodynamics. This approach has been tested in the simplest case of two ideal conducting planes. After this the method has been applied to the calculation of the lateral Casimir forces between two ideal conducting rectangular gratings. We compare our calculations with the results of PFA and "Optimal" PFA methods.

NON-ARCHIMEDEAN STRING ACTION AND BRUHAT-TITS TREES

1989 ◽  
Vol 04 (04) ◽  
pp. 367-374 ◽  
Author(s):  
A. ZABRODIN
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lattice Quantum Field Theory ◽  
Linear Group ◽  
Open String ◽  
Quantum Field ◽  
World Sheet ◽  
Lattice Quantum

It is shown that the Bruhat-Tits tree for p-adic linear group GL(2) is a natural non-archimedean analog of the open string world sheet. A boundary of the tree can be identified with the field of p-adic numbers. We construct a lattice quantum field theory on the Bruhat-Tits tree with a simple local Lagrangian and show that it leads to Freund-Olson amplitudes for emission processes of the particle states from the boundary.

scholarly journals Lattice quantum field theory

Scholarpedia ◽  
2010 ◽  
Vol 5 (12) ◽  
pp. 8613 ◽  
Author(s):  
Gernot Münster
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lattice Quantum Field Theory ◽  
Quantum Field ◽  
Lattice Quantum
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