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We study the quantum field theory of a charged $\phi^4$ field in lattice regularization at finite density and low temperature in 2 and 4 dimensions with the goal of analyzing the connection of condensation phenomena to scattering data in a…

High Energy Physics - Lattice · Physics 2018-06-20 Christof Gattringer , Mario Giuliani , Oliver Orasch

Scattering processes featuring the strong interactions can be studied using lattice QCD by means of the L\"uscher formalism. This approach relies on analyticity and unitarity of the $S$-matrix to relate infinite-volume scattering amplitudes…

High Energy Physics - Lattice · Physics 2026-04-01 A. Dean. M. Valois , M. Dai , A. El-Khadra , E. Gámiz , S. Lahert , R. Merino

Strong interactions produce a rich spectrum of resonances that decay into three or more hadrons. Understanding their phenomenology requires a theoretical framework to extract parameters fromexperimental data and Lattice QCD simulations of…

High Energy Physics - Lattice · Physics 2021-11-11 Sebastian M. Dawid

We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3+1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface…

High Energy Physics - Theory · Physics 2012-07-13 Igor R. Klebanov , Tatsuma Nishioka , Silviu S. Pufu , Benjamin R. Safdi

We present an integral formalism for constructing scheme transformations in a quantum field theory. We apply this to generate several new useful scheme transformations. A comparative analysis is given of these scheme transformations in…

High Energy Physics - Theory · Physics 2016-10-05 Gongjun Choi , Robert Shrock

We perform a model-independent, non-perturbative investigation of two-point and three-point finite-volume correlation functions in the energy regime where two-particle states can go on-shell. We study three-point functions involving a…

High Energy Physics - Lattice · Physics 2015-03-05 Raúl A. Briceño , Maxwell T. Hansen , André Walker-Loud

We perform a detailed comparison between three formalisms used in recent studies of $DD^*$ scattering, which aim to understand the properties of the doubly-charmed tetraquark, $T_{cc}^+(3875)$. These methods are the three-particle…

Nuclear Theory · Physics 2025-10-14 Sebastian M. Dawid , Fernando Romero-López , Stephen R. Sharpe

We show that information about scattering data of a quantum field theory can be obtained from studying the system at finite density and low temperatures. In particular we consider models formulated on the lattice which can be exactly…

High Energy Physics - Lattice · Physics 2015-12-16 Falk Bruckmann , Christof Gattringer , Thomas Kloiber , Tin Sulejmanpasic

A relativistic formalism for relating the the energies of the states of three scalar particles in finite volume to infinite volume scattering amplitudes has recently been developed. This formalism has been used to predict the energy of the…

High Energy Physics - Lattice · Physics 2018-10-23 Stephen R. Sharpe

We provide a general formalism to calculate the infrared correlators of multiple interacting scalar fields in the de Sitter space by means of the stochastic approach. These scalar fields are treated as test fields and hence our result is…

High Energy Physics - Theory · Physics 2013-05-30 Hayato Motohashi , Teruaki Suyama , Jun'ichi Yokoyama

The process of equilibration in phi^4 theory is investigated for a homogeneous system in 3+1 dimensions and a variety of out-of-equilibrium initial conditions, both in the symmetric and broken phase, by means of the 2PI effective action.…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alejandro Arrizabalaga , Jan Smit , Anders Tranberg

We reproduce Chang's duality condition in a regularized $\phi^4_{1+1}$ theory quantized on a light front. The regularization involves higher derivatives in the Lagrangian, renders the model finite in the ultraviolet, and does not require…

High Energy Physics - Theory · Physics 2009-11-10 V. T. Kim , G. B. Pivovarov , J. P. Vary

A formalism for describing charged particles interaction in both a finite volume and a uniform magnetic field is presented. In the case of short-range interaction between charged particles, we show that the factorization between short-range…

High Energy Physics - Lattice · Physics 2021-06-02 Peng Guo , Vladimir Gasparian

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths…

High Energy Physics - Theory · Physics 2017-08-24 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

We derive the relation between the scattering phase shift and the two-particle energy in the finite box, which is relevant for extracting the strong phase shifts in lattice QCD. We consider elastic scattering of two particles with different…

High Energy Physics - Lattice · Physics 2013-05-30 Luka Leskovec , Sasa Prelovsek

In recent years, different on-shell $\mathbf{3}\to\mathbf{3}$ scattering formalisms have been proposed to be applied to both lattice QCD and infinite volume scattering processes. We prove that the formulation in the infinite volume…

High Energy Physics - Phenomenology · Physics 2019-08-20 A. W. Jackura , S. M. Dawid , C. Fernández-Ramírez , V. Mathieu , M. Mikhasenko , A. Pilloni , S. R. Sharpe , A. P. Szczepaniak

We carry out a systematic study of entanglement entropy in nonrelativistic conformal field theories via holographic techniques. After a discussion of recent results concerning Galilean conformal field theories, we deduce a novel expression…

High Energy Physics - Theory · Physics 2017-09-12 Seyed Morteza Hosseini , Alvaro Veliz-Osorio

A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three…

Quantum Physics · Physics 2023-09-26 David Kordahl

First of all we shortly illustrate how the symplectic quantization scheme [Gradenigo and Livi, 2021] can be applied to a relativistic field theory with self-interaction. Taking inspiration from the stochastic quantization method by Parisi…

Statistical Mechanics · Physics 2024-07-24 Giacomo Gradenigo , Roberto Livi , Luca Salasnich

We develop a variational approximation to the entanglement entropy for scalar $\phi^4$ theory in 1+1, 2+1, and 3+1 dimensions, and then examine the entanglement entropy as a function of the coupling. We find that in 1+1 and 2+1 dimensions,…

High Energy Physics - Theory · Physics 2016-09-07 Jordan Cotler , Mark T. Mueller
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