scholarly journals Closed star product on noncommutative ℝ 3 and scalar field dynamics

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Tajron Jurić ◽  
Timothé Poulain ◽  
Jean-Christophe Wallet
Keyword(s):  
Scalar Field ◽  
Star Product ◽  
Scalar Field Dynamics

scholarly journals Black holes and binary mergers in scalar Gauss-Bonnet gravity: Scalar field dynamics

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
Helvi Witek ◽  
Leonardo Gualtieri ◽  
Paolo Pani ◽  
Thomas P. Sotiriou
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Bonnet Gravity ◽  
Binary Mergers ◽  
Scalar Field Dynamics

DISSIPATIVE SCALAR FIELD THEORY VIA DEFORMATION QUANTIZATION

2013 ◽  
Vol 28 (16) ◽  
pp. 1350068
Author(s):  
ILIANA CARRILLO-IBARRA ◽  
HUGO GARCÍA-COMPEÁN ◽  
FRANCISCO J. TURRUBIATES
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Deformation Quantization ◽  
Star Product ◽  
Quantum Mechanical ◽  
Expectation Values ◽  
Scalar Field Theory ◽  
Oscillation Modes ◽  
Quantization Formalism ◽  
Damped Oscillation

The dissipative scalar field theory by means of the deformation quantization formalism is studied. Following the ideas presented by G. Dito and F. J. Turrubiates [Phys. Lett. A352, 309 (2006)] for quantum mechanics, a star product which contains the dissipative effect for the damped oscillation modes of the field is constructed. Employing this approach the expectation values of some observables in the quantum mechanical case as well as certain correlation functions for the field case are obtained under a particular dissipative process.

scholarly journals Scalar field dynamics in warped AdS3 black hole background

2009 ◽  
Vol 680 (5) ◽  
pp. 500-505 ◽  
Author(s):  
Sayan K. Chakrabarti ◽  
Pulak Ranjan Giri ◽  
Kumar S. Gupta
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Black Hole Background ◽  
Scalar Field Dynamics

scholarly journals Open Wilson lines and generalized star product in noncommutative scalar field theories

2001 ◽  
Vol 65 (2) ◽  
Author(s):  
Youngjai Kiem ◽  
Soo-Jong Rey ◽  
Haru-Tada Sato ◽  
Jung-Tay Yee
Keyword(s):  
Scalar Field ◽  
Star Product ◽  
Field Theories

scholarly journals NONCOMMUTATIVE SCALAR FIELD MINIMALLY COUPLED TO GRAVITY

2005 ◽  
Vol 20 (17n18) ◽  
pp. 1359-1369 ◽  
Author(s):  
ORFEU BERTOLAMI
Keyword(s):  
Scalar Field ◽  
Star Product ◽  
Scalar Fields ◽  
Moyal Product ◽  
Observable Effect ◽  
Inflationary Scenario ◽  
Slow Roll

A model for noncommutative scalar fields coupled to gravity based on the generalization of the Moyal product is proposed. Solutions compatible with homogeneous and isotropic flat Robertson-Walker spaces to first non-trivial order in the perturbation of the star-product are presented. It is shown that in the context of a typical chaotic inflationary scenario, at least in the slow-roll regime, noncommutativity yields no observable effect.

scholarly journals STAR PRODUCT AND INTERACTING FIELDS ON κ-MINKOWSKI SPACE

2009 ◽  
Vol 24 (28) ◽  
pp. 2243-2250 ◽  
Author(s):  
JERZY KOWALSKI-GLIKMAN ◽  
ADRIAN WALKUS
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Minkowski Space ◽  
Star Product ◽  
Leading Order ◽  
Scalar Field Theory ◽  
Interaction Term ◽  
Explicit Expressions

In this note we extend the methods developed by Freidel et al.20 to derive the form of ϕ4 interaction term in the case of scalar field theory on κ-Minkowski space, defined in terms of star product. We present explicit expressions for the κ-Minkowski star product. Having obtained the the interaction term we use the resulting deformed conservation rules to investigate if they lead to any threshold anomaly, and we find that in the leading order they do not, as expected.

scholarly journals Gravitational Frames and Scalar Field Dynamics

2019 ◽  
Vol 58 (6) ◽  
pp. 1836-1844
Author(s):  
M. T. Ozaydin ◽  
N. Pirinccioglu
Keyword(s):  
Scalar Field ◽  
Scalar Field Dynamics
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