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UV/IR mixing is one of the most important features of noncommutative field theories. As a consequence of this coupling of the UV and IR sectors, the configuration of fields at the zero momentum limit in these theories is a very singular…

High Energy Physics - Theory · Physics 2009-11-07 Swarnendu Sarkar

The IR/UV mixing and the violation of unitarity are two of the most intriguing aspects of noncommutative quantum field theories. In this paper the relation between these two phenomena is explained and established. We start out by showing…

High Energy Physics - Theory · Physics 2009-11-07 Chong-Sun Chu , Jerzy Lukierski , Wojtek J. Zakrzewski

We consider scalar field theory with space and space-time-dependent non-commutativity. In perturbation theory, we find that the structure of the UV/IR mixing is quite different from cases with constant non-commutativity. In particular,…

High Energy Physics - Theory · Physics 2016-09-06 Daniel Robbins , Savdeep Sethi

The multiloop amplitudes for open bosonic string in presence of a constant B-field are derived from first principles. The basic ingredients of the construction are the commutation relations for the string modes and the Reggeon vertex…

High Energy Physics - Theory · Physics 2015-06-25 Chong-Sun Chu , Rodolfo Russo

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Seiberg , Edward Witten

We verify explicitly that UV/IR mixing for noncommutative gauge theory can be understood in terms of an induced gravity action, as predicted by the identification [1] of gravity within matrix models of NC gauge theory. More precisely, we…

High Energy Physics - Theory · Physics 2008-11-26 Harald Grosse , Harold Steinacker , Michael Wohlgenannt

Field theories based on non-commutative spacetimes exhibit very distinctive nonlocal effects which mix the ultraviolet with the infrared in bizarre ways. In particular if the time coordinate is involved in the non-commutativity the theory…

High Energy Physics - Theory · Physics 2009-10-31 N. Seiberg , L. Susskind , N. Toumbas

A field theory approach to summing threshold effects to the gauge couplings in a two-torus compactification is presented and the link with the (heterotic) string calculation is carefully investigated. We analyse whether the complete UV…

High Energy Physics - Theory · Physics 2008-11-26 D. M. Ghilencea , S. Groot Nibbelink

We study Witten's open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no B field, the vertices in the resulting…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Tomohiko Takahashi

Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large $N$ limit of non-commutative gauge theories by considering gravity solutions with $B$ fields. We argue that the…

High Energy Physics - Theory · Physics 2009-10-31 Juan M. Maldacena , Jorge G. Russo

String theory avoids the ultraviolet infinities that arise in trying to quantize gravity. It is also more predictive than conventional quantum field theory, one aspect of this being the way that it contributed to the emergence of the…

High Energy Physics - Theory · Physics 2007-05-23 Edward Witten

In this letter, we consider effective field theories for light fields transforming under the fundamental or adjoint representation of a continuous group. We demonstrate that in the presence of gravity, crossing symmetry combined with two…

High Energy Physics - Theory · Physics 2026-02-11 Aaron Hillman , Yu-tin Huang , Laurentiu Rodina , Justinas Rumbutis

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

We study a non-commutative non-relativistic scalar field theory in 2+1 dimensions. The theory shows the UV/IR mixing typical of QFT on non-commutative spaces. The one-loop correction to the two-point function turns out to be given by a…

High Energy Physics - Theory · Physics 2009-10-31 Joaquim Gomis , Karl Landsteiner , Esperanza Lopez

In this paper, we study open-closed string field theory in the background B-field in the so-called alpha=p^{+} formulation. The string field theory in the infrared gives noncommutative gauge theory in the open string sector. Since this…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Tomohiko Takahashi

An overview is given of the way in which the unification program of particle physics has evolved into the proposal of superstring theory as a prime candidate for unifying quantum gravity with the other forces and particles of nature. A key…

High Energy Physics - Theory · Physics 2015-06-04 K. S. Stelle

Turning on background fields in string theory sometimes has an alternative interpretation as a deformation of the target space geometry. A particularly well-known case is the NS-NS two form B, which gives rise to space-time…

High Energy Physics - Theory · Physics 2015-06-26 J. de Boer , P. A. Grassi , P. van Nieuwenhuizen

Motivated by a recent conjecture [1] that quantum corrections and the UV/IR connection modify the classical relation between SUSY breaking and the cosmological constant to the phenomenologically acceptable : $M_{SUSY} \sim M_P (\Lambda…

High Energy Physics - Theory · Physics 2007-05-23 T. Banks , W. Fischler

Using the ambitwistor string theory, we study graviton scattering amplitudes in a light-like linear dilaton background of ten-dimensional supergravity. At the tree level, we find that the three-graviton amplitude coincides with the type II…

High Energy Physics - Theory · Physics 2023-08-09 Mayu Kato , Yu Nakayama

Searching for space/time noncommutativity we reconsider open strings in a constant background electric field. The main difference between this situation and its magnetic counterpart is that here there is a critical electric field beyond…

High Energy Physics - Theory · Physics 2009-10-31 N. Seiberg , L. Susskind , N. Toumbas