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We study worldsheet and spacetime properties of the p-p' (p < p') open string system with constant B_{ij} field viewed from the Dp' brane. The description of this system in terms of the CFT with spin and twist fields leads us to consider…

High Energy Physics - Theory · Physics 2009-10-31 B. Chen , H. Itoyama , T. Matsuo , K. Murakami

We present a general formalism that allows for the computation of large-order renormalized expansions in the spacetime representation, effectively doubling the numerically attainable perturbation order of renormalized Feynman diagrams. We…

Strongly Correlated Electrons · Physics 2020-11-12 Riccardo Rossi , Fedor Simkovic , Michel Ferrero

The quantum $5$-state Potts model is known to possess a perturbative description using complex conformal field theory (CCFT), the analytic continuation of ``theory space" to a complex plane. To study the corresponding complex fixed point on…

Strongly Correlated Electrons · Physics 2026-04-01 Vic Vander Linden , Boris De Vos , Kevin Vervoort , Frank Verstraete , Atsushi Ueda

We present a non-perturbative formulation of renormalization by viewing the regularized Schwinger-Dyson hierarchy as a meromorphic connection, that is, as a D-module on the product of spacetime with the regulator disc. The irregular…

High Energy Physics - Theory · Physics 2025-04-29 Chaoming Song

With a motivation to find a 2-d Lorentz-invariant solution of the AdS_5 x S^5 superstring we continue the study of the Pohlmeyer-reduced form of this theory. The reduced theory is constructed from currents of the superstring sigma model and…

High Energy Physics - Theory · Physics 2010-05-12 B. Hoare , A. A. Tseytlin

We focus on functional renormalization for ensembles of several (say $n\geq 1$) random matrices, whose potentials include multi-traces, to wit, the probability measure contains factors of the form $ \exp[-\mathrm{Tr}(V_1)\times\ldots\times…

Mathematical Physics · Physics 2022-06-16 Carlos I. Perez-Sanchez

We study the relationship between the momentum twistor MHV vertex expansion of planar amplitudes in N=4 super-Yang-Mills and the all-loop generalization of the BCFW recursion relations. We demonstrate explicitly in several examples that the…

High Energy Physics - Theory · Physics 2015-03-17 Song He , Tristan McLoughlin

We derive a concrete closed string dual to any interacting Hermitian one-matrix model, away from the double-scaling limit. Matrix and string correlators manifestly agree, to all orders in the genus expansion and all orders in the 't Hooft…

High Energy Physics - Theory · Physics 2026-04-06 Alessandro Giacchetto , Rajesh Gopakumar , Edward A. Mazenc

In this paper we derive the general expression of a one-loop effective potential of the nonintegrable phases of Wilson lines for an SU(N) gauge theory with a massless adjoint fermion defined on the spactime manifold $R^{1,d-3}\times T^2$ at…

High Energy Physics - Theory · Physics 2008-11-26 Chung-Chieh Lee , Choon-Lin Ho

Form factors in planar N=4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in arXiv:2009.11297. This expansion is based on a decomposition of the dual periodic Wilson loop…

High Energy Physics - Theory · Physics 2022-08-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

In the previous papers, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond background. This was confirmed by agreement between planar…

High Energy Physics - Theory · Physics 2019-06-26 Tsunehide Kuroki , Fumihiko Sugino

We are inspired by the facts that M-theory may reconcile the supersymmetric GUT scale with that of quantum gravity, and that it provides new avenues for low-energy supersymmetry breaking, to re-examine a flipped SU(5) model that has been…

High Energy Physics - Phenomenology · Physics 2009-09-11 J. Ellis , G. K. Leontaris , S. Lola , D. V. Nanopoulos

The computational complexity of time-dependent perturbation theory is well-known to be largely combinatorial whatever the chosen expansion method and family of parameters (combinatorial sequences, Goldstone and other Feynman-type…

Strongly Correlated Electrons · Physics 2010-07-26 Christian Brouder , Ângela Mestre , Frédéric Patras

This paper concerns the reconstruction of a complex-valued anisotropic tensor $\gamma=\sigma+\i\omega\varepsilon$ from knowledge of several internal magnetic fields $H$, where $H$ satisfies the anisotropic Maxwell system on a bounded domain…

Analysis of PDEs · Mathematics 2013-09-10 Chenxi Guo , Guillaume Bal

We obtain exact matrix elements of physical operators of the (1+1)-dimensional nonlinear sigma model of an SU(N)-valued bare field, in the 't Hooft limit N goes to infinity. Specifically, all the form factors of the Noether current and the…

High Energy Physics - Theory · Physics 2015-06-16 Axel Cortes Cubero , Peter Orland

Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity…

High Energy Physics - Theory · Physics 2022-08-24 Sourav Ballav , Arkajyoti Manna

We describe and demonstrate a method to reconstruct an amplitude equation from the nonlinear relaxation dynamics in the succession of the Rosensweig instability. A flat layer of a ferrofluid is cooled such that the liquid has a relatively…

Pattern Formation and Solitons · Physics 2015-05-19 Christian Gollwitzer , Ingo Rehberg , Reinhard Richter

A non-perturbative renormalisation prescription for the energy-momentum tensor, based on space-time symmetries along the Wilson flow, has been proposed recently in the context of 4-dimensional gauge theories. We extend this construction to…

High Energy Physics - Lattice · Physics 2015-12-10 Francesco Capponi , Luigi Del Debbio , Susanne Ehret , Roberto Pellegrini , Antonio Rago

Motivated by potential applications to holography on space-times of positive curvature, and by the successful twistor description of scattering amplitudes, we propose a new dual matrix formulation of N = 4 gauge theory on S(4). The matrix…

High Energy Physics - Theory · Physics 2015-03-19 Jonathan J. Heckman , Herman Verlinde

We use the recently developed massive spinor-helicity formalism [1] of Arkani- Hamed et al. to propose a new class of recursion relations for tree-level amplitudes in gauge theories. These relations are based on a combined complex…

High Energy Physics - Theory · Physics 2021-05-13 Sourav Ballav , Arkajyoti Manna