scholarly journals Stochastic Quantization of Topological Field Theory: Generalized Langevin Equation with Memory Kernel

2007 ◽  
Author(s):  
Gabriel Santos Menezes
Keyword(s):  
Field Theory ◽  
Langevin Equation ◽  
Generalized Langevin Equation ◽  
Topological Field Theory ◽  
Stochastic Quantization ◽  
Memory Kernel ◽  
Topological Field ◽  
With Memory

A COMMENT ON TOPOLOGICAL FIELD THEORY QUANTIZATION AND STOCHASTIC PROCESSES

1990 ◽  
Vol 05 (19) ◽  
pp. 3777-3786 ◽  
Author(s):  
L.F. CUGLIANDOLO ◽  
G. LOZANO ◽  
H. MONTANI ◽  
F.A. SCHAPOSNIK
Keyword(s):  
Field Theory ◽  
Equilibrium State ◽  
Stochastic Processes ◽  
Topological Field Theories ◽  
Topological Charge ◽  
Field Theories ◽  
Langevin Equations ◽  
Topological Field Theory ◽  
Topological Field

We discuss the relation between different quantization approaches to topological field theories by deriving a connection between Bogomol’nyi and Langevin equations for stochastic processes which evolve towards an equilibrium state governed by the topological charge.

TETRAHEDRA AND POLYNOMIAL EQUATIONS IN TOPOLOGICAL FIELD THEORY

1991 ◽  
Vol 06 (20) ◽  
pp. 3571-3598 ◽  
Author(s):  
NOUREDDINE CHAIR ◽  
CHUAN-JIE ZHU
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Fundamental Representation ◽  
Conformal Blocks ◽  
Conformal Field ◽  
Witten Theory ◽  
Topological Field ◽  
General Program ◽  
The One ◽  
Chern Simons

Some tetrahedra in SUk(2) Chern-Simons-Witten theory are computed. The results can be used to compute an arbitrary tetrahedron inductively by fusing with the fundamental representation. The results obtained are in agreement with those of quantum groups. By associating a (finite) topological field theory (FTFT) to every rational conformal field theory (RCFT), we show that the pentagon and hexagon equations in RCFT follow directly from some skein relations in FTFT. By generalizing the operation of surgery on links in FTFT, we also derive an explicit expression for the modular transformation matrix S(k) of the one-point conformal blocks on a torus in RCFT and the equations satisfied by S(k), in agreement with those required in RCFT. The implication of our results on the general program of classifying RCFT is also discussed.

scholarly journals Chern–Simons–Rozansky–Witten topological field theory

2009 ◽  
Vol 823 (3) ◽  
pp. 403-427 ◽  
Author(s):  
Anton Kapustin ◽  
Natalia Saulina
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Topological Field ◽  
Chern Simons

scholarly journals Topological Field Theory and Computing with Instantons

2017 ◽  
Vol 529 (12) ◽  
pp. 1700123 ◽  
Author(s):  
Massimiliano Di Ventra ◽  
Fabio L. Traversa ◽  
Igor V. Ovchinnikov
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Topological Field
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