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A variety of unitary gauges for perturbation theory in a background field is considered in order to find those most suitable for a Hamiltonian treatment of the system. We select two convenient gauges and derive the propagators $D_{\mu\nu}$…

High Energy Physics - Theory · Physics 2007-05-23 A. Dubin , D. Wyler

We first quantize the action proposed by Casalbuoni and Gomis in [Phys. Rev. D \textbf{90}, 026001 (2014)], an action that describes two massless relativistic scalar particles interacting via a conformally invariant potential. The spectrum…

High Energy Physics - Theory · Physics 2021-12-03 N. Boulanger , F. Buisseret , G. Lhost

We show that after the Seiberg-Witten map is performed the action for noncommutative field theories can be regarded as a coupling to a field dependent gravitational background. This gravitational background depends only on the gauge field.…

High Energy Physics - Theory · Physics 2009-11-07 Victor O. Rivelles

The spectrum of the massive CPT-odd Yang-Mills propagator with Lorentz violation is performed at tree-level. The modification is due to mass terms generated by the exigence of multiplicative renormalizability of Yang-Mills theory with…

High Energy Physics - Theory · Physics 2016-11-02 T. R. S. Santos , R. F. Sobreiro , A. A. Tomaz

The most prominent realization of gravity as a gauge theory similar to the gauge theories of the standard model comes from enlarging the gauge group from the Lorentz group to the de Sitter group. To regain ordinary Einstein-Cartan gravity…

High Energy Physics - Theory · Physics 2010-11-01 Andrew Randono

We examine the curvature expansion of a the field equations of a four-dimensional higher spin gauge theory extension of anti-de Sitter gravity. The theory contains massless particles of spin 0,2,4,... that arise in the symmetric product of…

High Energy Physics - Theory · Physics 2009-10-31 E. Sezgin , P. Sundell

We study coupling of noncommutative gauge theories on branes to closed string in the bulk. We derive an expression for the gauge theory operator dual to the bulk graviton, both in bosonic string theory and superstring theory. In either…

High Energy Physics - Theory · Physics 2009-09-17 Yuji Okawa , Hirosi Ooguri

In Yang-Mills theory on a Euclidean Cauchy surface, the physical gauge group is often taken to be $\mathcal{G}^I/\mathcal{G}^\infty_0$, where $\mathcal{G}^I$ consists of boundary-preserving gauge transformations asymptoting to a constant,…

Mathematical Physics · Physics 2026-04-20 Silvester Borsboom , Hessel Posthuma

The anti-de Sitter/conformal field theory duality conjecture raises the question of how the perturbative expansion in the conformal field theory can resum to a simple function. We exhibit a relation between the one-loop and two-loop…

High Energy Physics - Theory · Physics 2017-08-23 C. Anastasiou , Z. Bern , L. J. Dixon , D. A. Kosower

We study theories of the "General Relativity + Yang-Mills" type in 4d spacetime with cosmological constant, focusing on formulations where the basic variables are connections and curvatures (but no metric). We present a new Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Julian Lang , Yasha Neiman

The notion of position operator for massless spinning particles is discussed in some detail. The noncommutativity of coordinates is related to the gauge symmetry following from the freedom in definition of standard state in Wigner's…

High Energy Physics - Theory · Physics 2018-11-14 Piotr Kosinski , Pawel Maslanka

We study some of the novel properties of conformal field theories with noncompact target spaces as applied to string theory. Standard CFT results get corrected by boundary terms in the target space in a way consistent with the expected…

High Energy Physics - Theory · Physics 2009-11-07 Per Kraus , Anton Ryzhov , Masaki Shigemori

We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N=2 superconformal…

High Energy Physics - Theory · Physics 2020-12-08 Songyuan Li , Jan Troost

By using the approach of non-commutative geometry, we study spinors and scalars on the two layers AdS$_{d+1}$ space. We have found that in the boundary of two layers AdS$_{d+1}$ space, by using the AdS/CFT correspondence, we have a…

High Energy Physics - Theory · Physics 2009-10-31 K. Kaviani , A. M. Ghezelbash

Unitary principal series representations of the conformal group appear in the dS/CFT correspondence. These are infinite dimensional irreducible representations, without highest weights. In earlier work of Guijosa and the author it was shown…

High Energy Physics - Theory · Physics 2009-11-10 David A. Lowe

Motivated by a question of defining gauge-invariant observables in cosmology and by the close connection between perturbation theory in de Sitter (dS) and Anti-de Sitter (AdS), we study scalar electrodynamics in AdS in setups that are…

High Energy Physics - Theory · Physics 2026-01-09 Ankur , Lorenzo Di Pietro , Victor Gorbenko , Shota Komatsu , Veronica Sacchi

We construct a non-abelian spin 1 gauge theory with a cubic interaction in AdS$_4$ from the Exact Renormalisation Group (ERG) flow of a CFT in 3 dimensions. The latter is the ${USp}(2N)$ singlet sector of the free field theory of $2N$…

High Energy Physics - Theory · Physics 2025-04-22 Pavan Dharanipragada , B. Sathiapalan

We study the theory of noncommutative U(N) Yang-Mills field interacting with scalar and spinor fields in the fundamental and the adjoint representations. We include in the action both the terms describing interaction between the gauge and…

High Energy Physics - Theory · Physics 2009-11-07 I. L. Buchbinder , V. A. Krykhtin

We study the geometry of a general class of vacuum asymptotically Anti-de Sitter spacetimes near the conformal boundary. In particular, the spacetime is only assumed to have finite regularity, and it is allowed to have arbitrary boundary…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Arick Shao

We present a lattice formulation of noncommutative Yang-Mills theory in arbitrary even dimensionality. The UV/IR mixing characteristic of noncommutative field theories is demonstrated at a completely nonperturbative level. We prove a…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , Y. M. Makeenko , J. Nishimura , R. J. Szabo