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Goldstone's theorem states that there is a massless mode for each broken symmetry generator. It has been known for a long time that the naive generalization of this counting fails to give the correct number of massless modes for…

High Energy Physics - Theory · Physics 2009-11-07 Ian Low , Aneesh V. Manohar

We revisit and extend the `Effective field theory for massive gravitons' constructed by Arkani-Hamed, Georgi and Schwartz in the light of recent progress in constructing ghost-free theories with multiple interacting spin-2 fields. We show…

High Energy Physics - Theory · Physics 2014-10-07 Johannes Noller , James H. C. Scargill , Pedro G. Ferreira

We study the massive gravity theory proposed by Arkani-Hamed, Georgi and Schwartz. In this theory, the graviton becomes massive when general covariance is spontaneously broken through the introduction of a field that links two metrics, one…

High Energy Physics - Theory · Physics 2007-05-23 Xing Huang , Leonard Parker

Gravitational properties of a hedge-hog type topological defect in two extra dimensions are considered in General Relativity employing a vector as the order parameter. The developed macroscopic theory of phase transitions with spontaneous…

General Relativity and Quantum Cosmology · Physics 2010-01-15 Boris E. Meierovich

For relativistic quantum field theories, we consider Lorentz breaking, spatially homogeneous field configurations or states that evolve in time along a symmetry direction. We dub this situation "spontaneous symmetry probing" (SSP). We…

High Energy Physics - Theory · Physics 2015-06-03 Alberto Nicolis , Federico Piazza

In the framework of causal perturbation theory we analyze the gauge structure of a massless self-interacting quantum tensor field. We look at this theory from a pure field theoretical point of view without assuming any geometrical aspect…

High Energy Physics - Theory · Physics 2007-05-23 G. Scharf , M. Wellmann

We consider symmetry breaking of arbitrary gauge groups on a six-dimensional space-time which consists of a four-dimensional Minkowski space-time $M^4$ and a two-dimensional sphere $S^2$. We expand the gauge fields in the presence of a…

High Energy Physics - Phenomenology · Physics 2025-05-27 Kento Asai , Yuki Honda , Hiroki Ishikawa , Joe Sato , Yasutaka Takanishi

In this paper we investigate the question how spontaneous symmetry breaking works in the framework of Loop Quantum Gravity and we compare it to the results obtained in the case of the Proca field, where we were able to quantise the theory…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Gabor Helesfai

We first review the representations of the six-dimensional (2,0) superalgebra on a free tensor multiplet and on a free string. We then construct a supersymmetric Lagrangian describing a free tensor multiplet. (It also includes a decoupled…

High Energy Physics - Theory · Physics 2009-11-10 Par Arvidsson , Erik Flink , Mans Henningson

We find the fingerprints of the Goldstino associated to spontaneous supersymmetry breaking in a prototype holographic model for a strongly coupled field theory. The Goldstino massless pole arises in two-point correlators of the…

High Energy Physics - Theory · Physics 2015-07-01 Riccardo Argurio , Matteo Bertolini , Daniele Musso , Flavio Porri , Diego Redigolo

In this work, we compute the graviton mediated scattering amplitude of a massive spin-2 Fierz-Pauli field with various other massive spin fields, and in the non-relativistic limit, find out the corresponding two-body gravitational…

High Energy Physics - Theory · Physics 2026-05-13 Avijit Sen Majumder , Sourav Bhattacharya

We construct Lorentz-invariant massless/massive spin-2 theories in flat spacetime. Starting from the most generic action of a rank-2 symmetric tensor field whose Lagrangian contains up to quadratic in first derivatives of a field, we…

High Energy Physics - Theory · Physics 2019-04-24 Atsushi Naruko , Rampei Kimura , Daisuke Yamauchi

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

The mass of the graviton can be generated using a Brout-Englert-Higgs mechanism with four scalar fields. We show that when one of these fields is costrained as in mimetic gravity, the massive gravity obtained is ghost free and consistent.…

High Energy Physics - Theory · Physics 2018-06-13 Ali H. Chamseddine , Viatcheslav Mukhanov

We study a system involving a single quantum degree of freedom per site of the lattice interacting with a few neighbors (up to second neighbors), with the interactions chosen as to produce frustration. At zero temperature, this system…

Statistical Mechanics · Physics 2021-09-29 Heitor Casasola , Carlos A. Hernaski , Pedro R. S. Gomes , Paula F. Bienzobaz

When a Poincar\'e-invariant system spontaneously breaks continuous internal symmetries, Goldstones's theorem demands the existence of massless, spin-zero excitations in a one-to-one correspondence with the broken symmetry generators. When a…

High Energy Physics - Theory · Physics 2021-05-26 Michael J. Landry , Guanhao Sun

Starting from the Fierz transform of the two-flavour 't Hooft interaction (a four-fermion Lagrangian with antisymmetric Lorentz tensor interaction terms augmented by an NJL type Lorentz scalar inetraction responsible for dynamical symmetry…

High Energy Physics - Theory · Physics 2008-11-26 V. Dmitrasinovic

In this work we propose a new gravitational setup formulated in terms of two interacting vierbein fields. The theory is the fully diffeomorphism and local Lorentz invariant extension of a previous construction which involved a fixed…

High Energy Physics - Theory · Physics 2019-01-21 Chrysoula Markou , Felix J. Rudolph , Angnis Schmidt-May

In this note, we revisit the 4-dimensional theory of massive gravity through compactification of an extra dimension and geometric symmetry breaking. We dimensionally reduce the 5-dimensional topological Chern-Simons gauge theory of (anti)…

High Energy Physics - Theory · Physics 2020-10-20 Mahdi Torabian

We establish a classical analog of the Nambu-Goldstone theorem for spontaneous breaking of spacetime symmetries. It provides a counting rule for independent Nambu-Goldstone fields and states which of them are gapped. We demonstrate that…

High Energy Physics - Theory · Physics 2019-01-07 Ivan Kharuk , Andrey Shkerin