95 citations · 386 across the 35 of their papers we have counts for
28 papers · 1 filter
Geodesic equation in noncommutative space: a field theory perspective
Carolina Matté Gregory, Tajron Jurić, Aleksandr Pinzul
We derive the geodesic equation for point particles propagating in Moyal-type noncommutative spacetimes using a field-theoretic approach based on the quasi-classical limit of the n…
On a non-geometric approach to noncommutative gauge theories
Guilherme Barrocas, Aleksandr Pinzul
In this work, we generalize the non-geometrical construction of gauge theories, due to S. Deser, to a noncommutative setting. We show that in a free theory, along with the usual lo…
Embedding Space Approach to JT Gravity
A. Pinzul, A. Stern, Chuang Xu
We present a coordinate-free background space construction of Euclidean Jackiw-Teitelboim gravity. It is written as a gauge theory that utilizes the Killing vectors and conformal K…
Exact solutions for scalars and spinors on quantized (Euclidean) and the correspondence principle
A. Pinzul, A. Stern
We obtain the exact solutions to the field equations for massless scalar and massless spinor fields on quantized two-dimensional anti-de Sitter space. We then apply the AdS/CFT cor…
Renormalization Group in Six-derivative Quantum Gravity
Leslaw Rachwal, Leonardo Modesto, Aleksandr Pinzul +1
The exact one-loop beta functions for the four-derivative terms (Weyl tensor squared, Ricci scalar squared and the Gauss-Bonnet) are derived for the minimal six-derivative quantum…
Asymptotic commutativity of quantized spaces: the case of
Fedele Lizzi, A. Pinzul, A. Stern +1
We present a procedure for quantizing complex projective spaces , , as well as construct relevant star products on these spaces. The quantization is made…
Spectral action approach to higher derivative gravity
Ravi Mistry, Aleksandr Pinzul, Lesław Rachwał
We study the spectral action approach to higher derivative gravity. The work focuses on the classical aspects. We derive the complete and simplified form of the purely gravitationa…
Non-commutative duality: the case of massive and interacting scalar fields
Felipe Rodrigues de Almeida, Aleksandr Pinzul, Allen Stern
We continue the study of the nocommutative correspondence. We extend our previous results obtained for a free massless scalar field to the case of a massive scalar…
Dimensional Deception from Noncommutative Tori: An alternative to Horava-Lifschitz
Fedele Lizzi, Aleksandr Pinzul
We study the dimensional aspect of the geometry of quantum spaces. Introducing a physically motivated notion of the scaling dimension, we study in detail the model based on a fuzzy…
Non-commutative duality: the case of massless scalar fields
A. Pinzul, A. Stern
We show how to construct correlators for the which is dual to non-commutative (). We do it explicitly for the example of the massless scalar field on Eucli…
Spectral geometry approach to Horava-Lifshitz type theories: gravity and matter sectors in IR regime
A. Pinzul
We give a brief exposition of the approach based on the methods of spectral geometry and the spectral action principle to construction and analysis of models on a foliated space-ti…
IR Horava-Lifshitz gravity coupled to Lorentz violating matter: A spectral action approach
D. V. Lopes, A. Mamiya, A. Pinzul
We continue our study of Horava-Lifshitz type theories using the methods of the spectral geometry. In this work we construct the infrared action of gravity and matter coupled to gr…
On geodesics in space-times with a foliation structure: A spectral geometry approach
A. Pinzul
Motivated by the Horava-Lifshitz type theories, we study the physical motion of matter coupled to a foliated geometry in non-diffeomorphism invariant way. We use the concept of a s…
Heat kernel for flat generalized Laplacians with anisotropic scaling
A. Mamiya, A. Pinzul
We calculate the closed analytic form of the solution of heat kernel equation for the anisotropic generalizations of flat Laplacian. We consider a UV as well as UV/IR interpolating…
On spectral geometry approach to Horava-Lifshitz gravity: Spectral dimension
A. Pinzul
We initiate the study of Horava-Lifshitz models of gravity in the framework of spectral geometry. As the first step, we calculate the dimension of space-time. It is shown, that for…
Thermodynamics of the quantum Landau-Lifshitz model
A. Melikyan, A. Pinzul
We present thermodynamics of the quantum su(1,1) Landau-Lifshitz model, following our earlier exposition [J. Math. Phys. 50, 103518 (2009)] of the quantum integrability of the theo…
Gauge Theory of the Star Product
A. Pinzul, A. Stern
The choice of a star product realization for noncommutative field theory can be regarded as a gauge choice in the space of all equivalent star products. With the goal of having a g…
Noncommutative with Quantized Cosmological Constant
A. Pinzul, A. Stern
We examine a recent deformation of three-dimensional anti-deSitter gravity based on noncommutative Chern-Simons theory with gauge group . In addition to a nonc…
A Perturbative Approach to Fuzzifying Field Theories
A. Pinzul, A. Stern
We propose a procedure for computing noncommutative corrections to the metric tensor, and apply it to scalar field theory written on coordinate patches of smooth manifolds. The pro…
On Time-Space Noncommutativity for Transition Processes and Noncommutative Symmetries
A. P. Balachandran, A. Pinzul
We explore the consequences of time-space noncommutativity in the quantum mechanics of atoms and molecules, focusing on the Moyal plane with just time-space noncommutativity ($[\ha…
Scale Transformations on the Noncommutative Plane and the Seiberg-Witten Map
A. Pinzul, A. Stern
We write down three kinds of scale transformations {\tt i-iii)} on the noncommutative plane. {\tt i)} is the analogue of standard dilations on the plane, {\tt ii)} is a re-scaling…
Space-Time Noncommutativity from Particle Mechanics
A. Pinzul, A. Stern
We exploit the reparametrization symmetry of a relativistic free particle to impose a gauge condition which upon quantization implies space-time noncommutativity. We show that ther…
Can classical wormholes stabilize the brane-anti-brane system?
A. Pinzul, A. Stern
We investigate the static solutions of Callan and Maldecena and Gibbons to lowest order Dirac-Born-Infeld theory. Among them are charged wormhole solutions connecting branes to ant…
Edge States from Defects on the Noncommutative Plane
A. Pinzul, A. Stern
We illustrate how boundary states are recovered when going from a noncommutative manifold to a commutative one with a boundary. Our example is the noncommutative plane with a defec…