scholarly journals Path integral for space-time noncommutative field theory

2004 ◽  
Vol 70 (8) ◽  
Author(s):  
Kazuo Fujikawa
Keyword(s):  
Field Theory ◽  
Path Integral ◽  
Space Time ◽  
Noncommutative Field Theory

scholarly journals Space–time symmetry of noncommutative field theory

2005 ◽  
Vol 622 (1-2) ◽  
pp. 192-197 ◽  
Author(s):  
Cezary Gonera ◽  
Piotr Kosiński ◽  
Paweł Maślanka ◽  
Stefan Giller
Keyword(s):  
Field Theory ◽  
Space Time ◽  
Noncommutative Field Theory ◽  
Time Symmetry

scholarly journals A NOTE ON THE IMPLEMENTATION OF POINCARÉ SYMMETRY IN NONCOMMUTATIVE FIELD THEORY

2010 ◽  
Vol 25 (31) ◽  
pp. 5747-5764
Author(s):  
IGNACIO CORTESE ◽  
J. ANTONIO GARCÍA
Keyword(s):  
Field Theory ◽  
Star Product ◽  
Space Time ◽  
Noncommutative Field Theory ◽  
Standard Definition ◽  
Time Symmetry ◽  
Poincaré Symmetry ◽  
Definition Of ◽  
Variational Symmetry

We argue that Poincaré symmetry can be implemented in noncommutative field theory (NCFT) if we allow the parameter of noncommutative deformation θμν to change as a two-tensor under the corresponding space–time symmetry. The implementation is consistent with the definition of θμν in terms of space–time coordinates and with the Moyal star product. Inspired by the standard definition of a variational symmetry we found a universal way to correct the implementation of the Poincaré symmetry by a term proportional to the variation of θμν in such a way that the new transformation define a symmetry of the theory. Finally we present as an example the case of NCYM theory and comment about the obstructions to implement generalized space–time symmetries in NCFT-like conformal or diffeomorphism transformations.

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

scholarly journals AN ALGORITHMIC APPROACH TO QUANTUM FIELD THEORY

2006 ◽  
Vol 21 (03) ◽  
pp. 405-447 ◽  
Author(s):  
MASSIMO DI PIERRO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integral ◽  
Gauge Theories ◽  
Quantum Field ◽  
Algorithmic Approach ◽  
Main Emphasis ◽  
Lattice Computation ◽  
Theoretical Foundations ◽  
Minimal Residual

The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper, we review the theoretical foundations and the most basic algorithms required to implement a typical lattice computation, including the Metropolis, the Gibbs sampling, the Minimal Residual, and the Stabilized Biconjugate inverters. The main emphasis is on gauge theories with fermions such as QCD. We also provide examples of typical results from lattice QCD computations for quantities of phenomenological interest.

Pregeometrical string field theory: Creation of space-time and motion

1986 ◽  
Vol 175 (2) ◽  
pp. 138-144 ◽  
Author(s):  
Hiroyuki Hata ◽  
Katsumi Itoh ◽  
Taichiro Kugo ◽  
Hiroshi Kunitomo ◽  
Kaku Ogawa
Keyword(s):  
Field Theory ◽  
String Field Theory ◽  
Space Time ◽  
Time And Motion ◽  
Theory Creation
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