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We present a new method for computing multi-loop scattering amplitudes in Quantum Field Theory. It extends the Generalized Unitarity method by constraining not only the integrand of the amplitude but also its full integrated form. Our…

High Energy Physics - Theory · Physics 2025-12-18 Piotr Bargiela

Loop quantum cosmology(LQC) is the symmetric model of loop quantum gravity. In this paper, we generalize the structure of loop quantum cosmology to the theories with arbitrary spacetime dimensions. The isotropic and homogenous cosmological…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Xiangdong Zhang

We quantize a massive scalar field in de Sitter spacetime and derive the S-matrix for the general interacting theory. Using the general boundary formulation of quantum field theory, we also propose a new type of S-matrix derived from the…

High Energy Physics - Theory · Physics 2010-10-07 Daniele Colosi

Two methodologies have been presented in the literature which connect relativistic three-particle scattering amplitudes with lattice QCD spectra -- the ``relativistic effective field theory'' approach and the ``finite-volume unitarity''…

High Energy Physics - Lattice · Physics 2022-08-24 Andrew W. Jackura

We investigate recovery of the bulk S-matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the S-matrix might be read from CFT correlators, given a particular singularity structure of…

High Energy Physics - Theory · Physics 2013-05-29 Michael Gary , Steven B. Giddings

We provide a new method to construct the S-matrix in quantum field theory. This method implements crossing symmetry manifestly by erasing the a priori distinction between in- and out-states. It allows the description of processes where the…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Colosi , Robert Oeckl

In the context of N=4 supergravity in four dimensions, we present an exact classical solution that leads to spacetime-dependent electromagnetic couplings and discuss the ensuing Lorentz-violating effects. We comment briefly on experimental…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ralf Lehnert

I study constraints on fundamental physics emerging from consistency of a unitary, local and perturbative $S$-matrix in $4d$. For massless particles, some new constraints arising from consistent complex factorisation of $2\rightarrow 2$…

High Energy Physics - Theory · Physics 2026-05-07 Timothy Trott

We consider the path integral of a quantum field theory in Minkowski spacetime with fixed boundary values (for the elementary fields) on asymptotic boundaries. We define and study the corresponding boundary correlation functions obtained by…

High Energy Physics - Theory · Physics 2023-11-08 Diksha Jain , Suman Kundu , Shiraz Minwalla , Onkar Parrikar , Siddharth G. Prabhu , Pushkal Shrivastava

We show that the dimensionful scalar cubic coupling in 3+1 dimensions gives rise to non-decoupling effects and analyze the behavior of these effects. In the process, we clarify how it is perturbatively consistent to construct theories in…

High Energy Physics - Phenomenology · Physics 2009-10-30 Kenichiro Aoki

Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update…

Statistical Mechanics · Physics 2015-06-24 Martin Weigel , Wolfhard Janke

We extend our exploration of nonstandard continuum quantum field theories in 2+1 dimensions to 3+1 dimensions. These theories exhibit exotic global symmetries, a peculiar spectrum of charged states, unusual gauge symmetries, and surprising…

Strongly Correlated Electrons · Physics 2020-10-07 Nathan Seiberg , Shu-Heng Shao

It was recently shown how to break supersymmetry in certain $AdS_3$ spaces, without destabilizing the background, by using a ``double trace'' deformation which localizes on the boundary of space-time. By viewing spatial sections of $AdS_3$…

High Energy Physics - Theory · Physics 2007-05-23 Micha Berkooz

We re-examine positivity bounds on the $2\to2$ scattering of identical massless real scalars with a novel perspective on how these bounds can be used to constrain the spectrum of UV theories. We propose that the entire space of consistent…

High Energy Physics - Theory · Physics 2024-12-19 Justin Berman , Henriette Elvang , Nicholas Geiser , Loki L. Lin

We discuss a reformulation of QED in which matter and gauge fields are integrated out explicitly, resulting in a many-body Lorentz covariant theory of 0+1 dimensional worldlines describing super-pairs of spinning charges interacting through…

High Energy Physics - Theory · Physics 2022-10-05 Xabier Feal , Andrey Tarasov , Raju Venugopalan

We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the…

High Energy Physics - Theory · Physics 2008-11-26 Valentina Giangreco Marotta Puletti , Thomas Klose , Olof Ohlsson Sax

We reconsider the matrix model formulation of type IIB superstring theory in (9+1)-dimensional space-time. Unlike the previous proposal in which the Wick rotation was used to make the model well-defined, we regularize the Lorentzian model…

High Energy Physics - Theory · Physics 2012-03-06 Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We construct a new type of S-matrix in quantum field theory using the general boundary formulation. In contrast to the usual S-matrix the space of free asymptotic states is located at spatial rather than at temporal infinity. Hence, the new…

High Energy Physics - Theory · Physics 2008-11-26 Daniele Colosi , Robert Oeckl

We study the cubic-quintic NLS in three space dimensions. It is known that scattering holds for solutions with mass-energy in a region corresponding to positive virial, the boundary of which is delineated both by ground state solitons and…

Analysis of PDEs · Mathematics 2025-09-19 Alex H. Ardila , Jason Murphy

Enhancement of global symmetry and supersymmetry in the infrared is one of the most intriguing phenomena in quantum field theory. We investigate such phenomena in a large class of three dimensional superconformal field theories, known as…

High Energy Physics - Theory · Physics 2019-09-04 Ivan Garozzo , Gabriele Lo Monaco , Noppadol Mekareeya , Matteo Sacchi