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We adapt the Goldstone theorem to study spontaneous symmetry breaking in relativistic theo- ries at finite charge density. It is customary to treat systems at finite density via non-relativistic Hamiltonians. Here we highlight the…

High Energy Physics - Theory · Physics 2013-01-10 Alberto Nicolis , Federico Piazza

The Goldstone equivalence theorem allows one to relate scattering amplitudes of massive gauge fields to those of scalar fields in the limit of large scattering energies. We generalize this theorem under the framework of the AdS/CFT…

High Energy Physics - Theory · Physics 2015-08-05 Nikhil Anand , Sean Cantrell

Exact discrete symmetries, if non-linearly realized, can reduce the ultraviolet sensitivity of a given theory. The scalars stemming from spontaneous symmetry breaking are massive without breaking the discrete symmetry, and those masses are…

High Energy Physics - Phenomenology · Physics 2023-02-16 Victor Enguita Vileta , Belen Gavela , Rachel Houtz , Pablo Quilez

We study the low energy effective theory describing gravity with broken spatial diffeomorphism invariance. In the unitary gauge, the Goldstone bosons associated with broken diffeomorphisms are eaten and the graviton becomes a massive spin-2…

High Energy Physics - Theory · Physics 2016-04-20 Chunshan Lin , Lance Z. Labun

We demonstrate the extension to PT-symmetric field theories of the Goldstone theorem, confirming that the spontaneous appearance of a field vacuum expectation value via minimisation of the effective potential in a non-Hermitian model is…

High Energy Physics - Theory · Physics 2018-08-02 Jean Alexandre , John Ellis , Peter Millington , Dries Seynaeve

I point out that standard two dimensional, asymptotically free, non-linear sigma models, supplemented with terms giving a mass to the would-be Goldstone bosons, share many properties with four dimensional supersymmetric gauge theories, and…

High Energy Physics - Theory · Physics 2009-10-31 Frank Ferrari

We continue our study of naturalness in nonrelativistic QFTs of the Lifshitz type, focusing on scalar fields that can play the role of Nambu-Goldstone (NG) modes associated with spontaneous symmetry breaking. Such systems allow for an…

High Energy Physics - Theory · Physics 2015-10-28 Tom Griffin , Kevin T. Grosvenor , Petr Horava , Ziqi Yan

We present a relativistic effective field theory for the interaction between acoustic and gapped phonons in the limit of a small gap. We show that, while the former are the Goldstone modes associated with the spontaneous breaking of…

High Energy Physics - Theory · Physics 2020-11-11 Angelo Esposito , Emma Geoffray , Tom Melia

We study exponentiated soft exchange in $d+2$ dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with…

High Energy Physics - Theory · Physics 2022-01-19 Daniel Kapec , Prahar Mitra

In a previous paper we observed that (classical) tree-level gauge theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , John Joseph M. Carrasco , Henrik Johansson

A higher spin field theory on AdS(4) possesses a conformal field theory on the boundary R(3) which can be identified with the critical O(N) sigma model of O(N) invariant fields only. The notions of quasiprimary and secondary fields can be…

High Energy Physics - Theory · Physics 2007-05-23 Werner Ruehl

We employ the non-linear realization techniques to relate the N=1 chiral, and the N=2 vector multiplets to the Goldstone spin 1/2 superfield arising from partial supersymmetry breaking of N=2 and N=3 respectively. In both cases, we obtain a…

High Energy Physics - Theory · Physics 2008-11-26 A. De Castro , L. Quevedo , A. Restuccia

We find that scattering amplitudes in massive scalar QCD can manifest the duality between color and kinematics at loop-level. Specifically we construct the one-loop integrands for four-point scattering between two distinct massive scalars,…

High Energy Physics - Theory · Physics 2021-02-10 John Joseph M. Carrasco , Ingrid A. Vazquez-Holm

We propose a new way of breaking the Goldstone symmetry in composite Higgs models, restoring the global symmetry in the mixings between the elementary and composite fermions by completing the former to full representations of this symmetry.…

High Energy Physics - Phenomenology · Physics 2019-12-04 Simone Blasi , Florian Goertz

Field theories with global continuous symmetries may admit configurations in which time translation invariance is broken by the movement of homogeneous background fields evolving along the flat directions implied by the symmetries. In this…

High Energy Physics - Theory · Physics 2015-06-18 Esteban Castillo , Benjamin Koch , Gonzalo Palma

We study finite energy static solutions to a global symmetry breaking model in 3+1 dimensions described by an isovector scalar field. The basic features of two different types of configurations are discussed, one of them corresponding to…

High Energy Physics - Theory · Physics 2009-11-11 Vanush Paturyan , Eugen Radu , D. H. Tchrakian

We provide a comprehensive classification of isotropic solid and fluid holographic models with broken translational invariance. We describe in detail the collective modes in both the transverse and longitudinal sectors. First, we discuss…

High Energy Physics - Theory · Physics 2019-11-05 Matteo Baggioli , Sebastian Grieninger

The galileon model was recently proposed to locally describe a class of modified gravity theories, including the braneworld DGP model. We discuss spontaneous symmetry breaking of the self-accelerating branch in a multi-galileon theory with…

High Energy Physics - Theory · Physics 2011-03-21 Shuang-Yong Zhou

We develop a hybrid formalism suitable for modeling scalar field dark matter, in which the phase-space distribution associated to the real scalar field is modeled by statistical equal-time two-point functions and gravity is treated by two…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Tomislav Prokopec , Pavel Friedrich

We investigate the Englert-Brout-Higgs-Guralnik-Hagen-Kibble mechanism for non-Hermitian field theories with local non-Abelian gauge symmetry in different regions of their parameter spaces. We demonstrate that the two aspects of the…

High Energy Physics - Theory · Physics 2022-08-16 Andreas Fring , Takanobu Taira
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