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Nonrelativistic string theory is described by a sigma model with a relativistic worldsheet and a nonrelativistic target spacetime geometry, that is called string Newton-Cartan geometry. In this paper we obtain string Newton-Cartan geometry…

High Energy Physics - Theory · Physics 2019-12-09 Eric Bergshoeff , Jaume Gomis , Jan Rosseel , Ceyda Simsek , Ziqi Yan

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

We develop an exact functional method applied to the bosonic string on a shperical world sheet, in graviton and dilaton backgrounds, consistent with conformal invariance. In this method, quantum fluctuations are controled by the amplitude…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Nick E. Mavromatos

We continue our study of the Kawai-Lewellen-Tye (KLT) factorization of winding string amplitudes. In a toroidal compactification, amplitudes for winding closed string states factorize into products of amplitudes for open strings ending on…

High Energy Physics - Theory · Physics 2023-03-29 Ziqi Yan , Matthew Yu

The two-loop Feynman diagram contribution to the four-graviton amplitude of eleven-dimensional supergravity compactified on a two-torus, T^2, is analyzed in detail. The Schwinger parameter integrations are re-expressed as integration over…

High Energy Physics - Theory · Physics 2008-11-26 Michael B. Green , Hwang-h. Kwon , Pierre Vanhove

In this thesis, we investigate the low-energy expansion of scattering amplitudes of closed strings at one-loop level (i.e. at genus one) in a ten-dimensional Minkowski background using a special class of functions called modular graph…

High Energy Physics - Theory · Physics 2020-11-18 Jan E. Gerken

Using a Hamiltonian approach, we construct the classical and quantum theory of open WZW strings on a strip. (These are the strings which end on WZW branes.) The development involves non-abelian generalized Dirichlet images in an essential…

High Energy Physics - Theory · Physics 2014-11-18 S. Giusto , M. B. Halpern

We introduce a random lattice corresponding to ordinary Feynman diagrams, with 1/p-squared propagators instead of the Gaussians used in the usual strings. The continuum limit defines a new type of string action with two worldsheet metrics,…

High Energy Physics - Theory · Physics 2009-10-30 W. Siegel

String scattering amplitudes in the high energy asymptotic region have been studied by saddle point approximation. Recently, it was pointed out that infinitely many complex saddles contribute to string amplitudes even at tree-level after…

High Energy Physics - Theory · Physics 2024-09-25 Takuya Yoda

We employ the recently discovered Hopf algebra structure underlying perturbative Quantum Field Theory to derive iterated integral representations for Feynman diagrams. We give two applications: to massless Yukawa theory and quantum…

High Energy Physics - Theory · Physics 2016-09-06 D. Kreimer , R. Delbourgo

We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of…

High Energy Physics - Theory · Physics 2009-10-28 M. Ikehara , N. Ishibashi , H. kawai , T. Mogami , R. Nakayama , N. Sasakura

One-loop scattering amplitudes in string theories involve configuration-space integrals over genus-one surfaces with coefficients of Kronecker-Eisenstein series in the integrand. A conjectural genus-one basis of integrands under Fay…

High Energy Physics - Theory · Physics 2024-05-28 Carlos Rodriguez , Oliver Schlotterer , Yong Zhang

We present an integration-by-parts reduction of any massless tree-level string correlator to an equivalence class of logarithmic functions, which can be used to define a field-theory amplitude via a Cachazo-He-Yuan (CHY) formula. The string…

High Energy Physics - Theory · Physics 2019-06-24 Song He , Fei Teng , Yong Zhang

We study the quantum field theory (QFT) of a scalar field in the Schr\"odinger picture in the functional formulation. We derive a formula for the evolution kernel in a flat expanding metric. We discuss a transition between Riemannian and…

General Relativity and Quantum Cosmology · Physics 2024-08-30 Z. Haba

This is the second paper of a series of three. We construct effective open-closed superstring couplings by classically integrating out massive fields from open superstring field theories coupled to an elementary gauge invariant tadpole…

High Energy Physics - Theory · Physics 2021-09-29 Carlo Maccaferri , Jakub Vošmera

We construct and fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analyzed from a string theory perspective as tools to deal with open/closed string dualities.

High Energy Physics - Theory · Physics 2008-11-26 Mauro Carfora , Claudio Dappiaggi , Valeria L. Gili

We develop the general theory for the construction of Extended Topological Quantum Field Theories (ETQFTs) associated with the Costantino-Geer-Patureau quantum invariants of closed 3-manifolds. In order to do so, we introduce relative…

Geometric Topology · Mathematics 2022-09-20 Marco De Renzi

We study the Schr\"odinger equation in quantum field theory (QFT) in its functional formulation. In this approach quantum correlation functions can be expressed as classical expectation values over (complex) stochastic processes. We obtain…

High Energy Physics - Theory · Physics 2024-04-19 Z. Haba

A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner…

High Energy Physics - Theory · Physics 2009-09-25 Richard J. Szabo

We propose a loop-level generalization of the inverse string theory Kawai-Lewellen-Tye (KLT) kernel: the planar inverse KLT integrand. The integrand is defined constructively via a novel Berends-Giele-like recursion that exposes the inverse…

High Energy Physics - Theory · Physics 2026-02-18 Christoph Bartsch , Karol Kampf , Jiří Novotný , Jaroslav Trnka
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