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We discuss the breakdown of perturbative unitarity of noncommutative quantum field theories in electric-type background in the light of string theory. We consider the analytic structure of string loop two-point functions using a suitable…

High Energy Physics - Theory · Physics 2009-11-07 Alessandro Torrielli

In these proceedings, we discuss non-commutativity in closed string theory. In analogy to the open-string sector, for closed strings we first motivate a cyclic double commutator to be evaluated for backgrounds with geometric or…

High Energy Physics - Theory · Physics 2012-04-13 Erik Plauschinn

By exploiting the boundary state formalism we obtain the string correlator between two internal points on the one loop open string world-sheet in the presence of a constant background $B$-field. From this derivation it is clear that there…

High Energy Physics - Theory · Physics 2009-10-31 Adel Bilal , Chong-Sun Chu , Rodolfo Russo

We analyze open and mixed sector tree-level amplitudes of N=2 strings in a space-time with (2,2) signature, in the presence of constant B field. The expected topological nature of string amplitudes in the open sector is shown to impose…

High Energy Physics - Theory · Physics 2010-02-03 Alok Kumar , Aalok Misra , Kamal Lochan Panigrahi

The perturbative dynamics of noncommutative field theory (NCFT) is discussed from a point view of string field theory. As in the commutative case it is inevitable to introduce a closed string, which may be described as a bound state of two…

High Energy Physics - Theory · Physics 2009-10-31 Taejin Lee

We develop a procedure that reorganizes the perturbative expansion in a class of quantum field theories into a stringy amplitude expressed as a sum over two-dimensional geometries. Using Schwinger parametrization and the one-to-one…

High Energy Physics - Theory · Physics 2025-12-10 Guim Planella Planas

In this lecture notes we explain and discuss some ideas concerning noncommutative geometry in general, as well as noncommutative field theories and string field theories. We consider noncommutative quantum field theories emphasizing an…

High Energy Physics - Theory · Physics 2017-08-23 I. Ya. Aref'eva , D. M. Belov , A. A. Giryavets , A. S. Koshelev , P. B. Medvedev

Feynman amplitudes of light-cone gauge superstring field theory are ill-defined because of various divergences. In a previous paper, one of the authors showed that taking the worldsheet theory to be the one in a linear dilaton background…

High Energy Physics - Theory · Physics 2017-02-01 Nobuyuki Ishibashi , Koichi Murakami

We show that field theories with light-like noncommutativity, that is with $\theta^{0i}=-\theta^{1i}$, are unitary quantum theories, and that they can be obtained as decoupled field theory limits of string theory with D-branes in a…

High Energy Physics - Theory · Physics 2009-10-31 Ofer Aharony , Jaume Gomis , Thomas Mehen

It is shown that the one-loop two-point amplitude in {\it Lorentz-invariant} non-commutative (NC) $\phi^3$ theory is finite after subtraction in the commutative limit and satisfies the usual cutting rule, thereby eliminating the unitarity…

High Energy Physics - Theory · Physics 2009-11-10 Katsusada Morita , Yoshitaka Okumura , Eizou Umezawa

As of today there exist consistent, gauge-invariant string field theories describing all string theories: bosonic open and closed strings, open superstrings, heterotic strings and type II strings. The construction of these theories require…

High Energy Physics - Theory · Physics 2024-06-21 Ashoke Sen , Barton Zwiebach

Using the {\em cutting and sewing} procedure we show how to get Feynman diagrams, up to two-loop order, of $\Phi^{4}$-theory with an internal SU(N) symmetry group, starting from tachyon amplitudes of the open bosonic string theory. In a…

High Energy Physics - Theory · Physics 2009-10-31 R. Marotta , F. Pezzella

We generalize Gopakumar's microscopic derivation of Witten diagrams in large N free quantum field theory [1] to interacting theories in perturbative expansion. For simplicity we consider a matrix scalar field with $\Phi^h$ interaction in d…

High Energy Physics - Theory · Physics 2022-12-01 Domingo Gallegos , Umut Gursoy , Natale Zinnato

We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space-time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This…

High Energy Physics - Theory · Physics 2009-10-31 Jaume Gomis , Thomas Mehen

The string field theory for unoriented open-closed string mixed system is constructed up to quadratic order based on the joining-splitting type vertices. The gauge invariance with closed string transformation parameter is proved. The…

High Energy Physics - Theory · Physics 2009-10-30 Taichiro Kugo , Tomohiko Takahashi

The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality. This duality has been instrumental in…

High Energy Physics - Theory · Physics 2017-07-24 Piotr Tourkine , Pierre Vanhove

The Wilson loop in some non-commutative gauge theories is studied by using the dual string description in which the corresponding string is on the curved background with B field. For the theory in which a constant B field is turned on along…

High Energy Physics - Theory · Physics 2007-09-06 Wung-Hong Huang

The 2d gauge theory on the lattice is equivalent to the twisted Eguchi-Kawai model, which we simulated at N ranging from 25 to 515. We observe a clear large N scaling for the 1- and 2-point function of Wilson loops, as well as the 2-point…

High Energy Physics - Theory · Physics 2009-11-10 F. Hofheinz

We analyze further the IR singularities that appear in noncommutative field theories on R^d. We argue that all IR singularities in nonplanar one loop diagrams may be interpreted as arising from the tree level exchanges of new light degrees…

High Energy Physics - Theory · Physics 2009-10-31 Mark Van Raamsdonk , Nathan Seiberg

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under…

High Energy Physics - Theory · Physics 2017-11-22 Corinne de Lacroix , Harold Erbin , Sitender Pratap Kashyap , Ashoke Sen , Mritunjay Verma