Symmetries and Renormalization of Noncommutative Field Theory

Szabo, Richard J.

doi:10.1063/1.2751951

Cited by 3 publications

(3 citation statements)

References 32 publications

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“…The connection between spacetime noncommutativity and experimental signatures of Lorentz violation are treated in [6]. The restoration of Lorentz symmetry is related to the problem of renormalization of noncommutative field theories in [7]. The interplay between noncommutative field theory and physics in strong magnetic fields is discussed in [8].…”

Section: Introductionmentioning

confidence: 99%

Quantum gravity, field theory and signatures of noncommutative spacetime

Szabo

2009

Gen Relativ Gravit

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A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of quantizing gravity. We examine to what extent noncommutative gauge theories may be regarded as gauge theories of gravity. UV/IR mixing is explained in detail and we describe its relations to renormalization, to gravitational dynamics, and to deformed dispersion relations in models of quantum spacetime of interest in string theory and in doubly special relativity. We also discuss some potential experimental probes of spacetime noncommutativity.

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Section: Introductionmentioning

confidence: 99%

Quantum gravity, field theory and signatures of noncommutative spacetime

Szabo

2009

Gen Relativ Gravit

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“…efficient solution regardless the size of reactants. Despite the lacking quantum effects, the trajectory based method with a good quality potential energy surface can provide accurate rate constants, spectral properties and also reliable atomic-scale mechanism of molecular collisions [46][47][48][49][50][51][52][53] .…”

Section: Fig 1 Schematic Representation Of H + Cn Potential Energy Su...mentioning

confidence: 99%

Polyatomic radiative association by quasiclassical trajectory calculations: Cross section for the formation of HCN molecules in H + CN collisions

Szabó¹,

Gustafsson²

2021

Preprint

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We have developed the polyatomic extension of a recently established (M. Gustafsson, J. Chem. Phys, 138, 074308 ( 2013)) classical theory of radiative association in the absence of electronic transitions. The cross section of the process is calculated by a quasiclassical trajectory method combined with the classical Larmor formula which can provide the radiated power in collisions. We have also proposed a double-layered Monte Carlo scheme for efficient computation of ro-vibrationally quantum state resolved cross sections for radiative association. Besides the method development, we also calculated and fitted the global potential energy and dipole surface for the H + CN collisions to test our polyatomic semiclassical method.

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“…In the rest of this talk, I will focus only on the "harmonic solution" proposed by Grosse and Wulkenhaar [17]. The second possible solution is related to the so called twisted noncommutative field theories (for more details see e.g [42] and references therein).…”

Section: The Harmonic Solutionmentioning

confidence: 99%

Noncommutative induced gauge theories on Moyal spaces

Wallet

2008

J. Phys.: Conf. Ser.

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Noncommutative field theories on Moyal spaces can be conveniently handled within a framework of noncommutative geometry. Several renormalisable matter field theories that are now identified are briefly reviewed. The construction of renormalisable gauge theories on these noncommutative Moyal spaces, which remains so far a challenging problem, is then closely examined. The computation in 4-D of the one-loop effective gauge theory generated from the integration over a scalar field appearing in a renormalisable theory minimally coupled to an external gauge potential is presented. The gauge invariant effective action is found to involve, beyond the expected noncommutative version of the pure Yang-Mills action, additional terms that may be interpreted as the gauge theory counterpart of the harmonic term, which for the noncommutative ϕ 4 -theory on Moyal space ensures renormalisability. A class of possible candidates for renormalisable gauge theory actions defined on Moyal space is presented and discussed.

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Symmetries and Renormalization of Noncommutative Field Theory

Abstract: Abstract. An overview of recent developments in the renormalization and in the implementation of spacetime symmetries of noncommutative field theory is presented, and argued to be intimately related.

Cited by 3 publications

References 32 publications

Quantum gravity, field theory and signatures of noncommutative spacetime

Quantum gravity, field theory and signatures of noncommutative spacetime

Polyatomic radiative association by quasiclassical trajectory calculations: Cross section for the formation of HCN molecules in H + CN collisions

Noncommutative induced gauge theories on Moyal spaces

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