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We study the onset of Goldstone phenomenon in a hybrid inflation scenario. The physically motivated range of parameters is analyzed in order to meet the cosmological constraints. Classical equations of motion are solved and the evolution…

High Energy Physics - Phenomenology · Physics 2017-08-23 Sz. Borsanyi , A. Patkos , D. Sexty

Goldstone modes in the amorphous solid state, resulting from the spontaneous breaking of translational symmetry due to random localisation of particles, are discussed. Starting from a microscopic model with quenched disorder, the broken…

Soft Condensed Matter · Physics 2009-11-10 Swagatam Mukhopadhyay , Paul M. Goldbart , Annette Zippelius

According to the Goldstone theorem a scalar theory with a spontaneously broken global symmetry contains strictly massless states. In this letter we identify a loophole in the current-algebra proof of the theorem. Therefore, the question…

High Energy Physics - Phenomenology · Physics 2014-05-14 Alexander Kartavtsev

We apply the number-conserving Bogoliubov theory to spinor Bose-Einstein condensates and show that the Goldstone magnon leads instability leading to fragmentation. Unlike the dynamical instability, where modes with complex eigenfrequencies…

Quantum Gases · Physics 2014-04-08 Yuki Kawaguchi

The Goldstone theorem states that there should be a massless mode for each spontaneously broken symmetry generator. There is no such rotational mode in crystals, however superconducting quantum nematics should carry rotational Goldstone…

Strongly Correlated Electrons · Physics 2013-08-12 Aron J. Beekman , Kai Wu , Vladimir Cvetkovic , Jan Zaanen

We propose an experimental setup to probe the low-lying excitation modes of a parametrically oscillating planar cavity, in particular the soft Goldstone mode which appears as a consequence of the spontaneously broken U(1) symmetry of…

Other Condensed Matter · Physics 2007-05-23 Michiel Wouters , Iacopo Carusotto

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

Supersolidity is deeply connected with the emergence of Goldstone modes, reflecting the spontaneous breaking of both phase and translational symmetry. Here, we propose accessible signatures of these modes in harmonically trapped…

Quantum Gases · Physics 2021-09-21 Kevin T. Geier , Giovanni I. Martone , Philipp Hauke , Sandro Stringari

We consider magnon excitations in the spin-glass phase of geometrically frustrated antiferromagnets with weak exchange disorder, focussing on the nearest-neighbour pyrochlore-lattice Heisenberg model at large spin. The low-energy degrees of…

Strongly Correlated Electrons · Physics 2020-01-16 Samuel J. Garratt , J. T. Chalker

Goldstone modes acquire a frequency gap in the presence of perturbations that break the underlying continuous symmetry. Here, we study the response of a spin-based Goldstone mode to strain and magnetic field in the broken helix, a…

Spontaneous symmetry breaking in quantum field theories at non-zero temperature still holds fundamental open questions, in particular what happens to vacuum Goldstone bosons when the temperature is increased. By investigating a complex…

High Energy Physics - Phenomenology · Physics 2025-09-25 Peter Lowdon , Owe Philipsen

We predict a rich excitation spectrum of a binary dipolar supersolid in a linear crystal geometry, where the ground state consists of two partially immiscible components with alternating, interlocking domains. We identify three Goldstone…

Quantum Gases · Physics 2024-09-06 W. Kirkby , Au-Chen Lee , D. Baillie , T. Bland , F. Ferlaino , P. B. Blakie , R. N. Bisset

Temperature has a significant effect on the properties of quantum field theories (QFTs) with a spontaneously broken symmetry, in particular on the massless Goldstone bosons that exist in the vacuum state. It has recently been shown using…

High Energy Physics - Phenomenology · Physics 2026-02-10 Peter Lowdon , Owe Philipsen

We argue that in an inflationary cosmology a consequence of the lack of time translational invariance is that spontaneous breaking of a continuous symmetry and Goldstone's theorem \emph{do not} imply the existence of \emph{massless}…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-12 Daniel Boyanovsky

Higgs inflation uses the gauge variant Higgs field as the inflaton. During inflation the Higgs field is displaced from its minimum, which results in associated Goldstone bosons that are apparently massive. Working in a minimally coupled…

High Energy Physics - Phenomenology · Physics 2012-07-31 Sander Mooij , Marieke Postma

It is shown that the Goldstone modes associated with a broken continuous symmetry lead to anomalously large fluctuations of the zero field order parameter at any temperature below T_c. In dimensions 2<d<4, the variance of the extensive…

Statistical Mechanics · Physics 2009-11-10 W. Zwerger

The exact symmetry induced by the global shift of energy scale for the cosmological constant in the action of matter fields is spontaneously broken by setting the density of real vacuum energy and explicitly broken by the gravity that means…

General Relativity and Quantum Cosmology · Physics 2019-11-28 Ja. V. Balitsky , V. V. Kiselev

The spontaneous breaking of boost invariance is ubiquitous in nature, yet the associated Goldstone bosons are nowhere to be seen. We discuss why some subtleties are to be expected in the Goldstone phenomenon for spontaneously broken boosts,…

High Energy Physics - Theory · Physics 2020-08-26 Lasma Alberte , Alberto Nicolis

We study the effects of Goldstone modes on the stability of the vacuum in a $U(1)$ theory for a complex scalar field. The dynamics of the field resemble those of Keplerian motion in the presence of time-dependent friction, whose equations…

High Energy Physics - Theory · Physics 2020-05-20 Mulham Hijazi , Apostolos Pilaftsis

It is well known that massless Goldstone bosons have not yet been observed. In the Goldstone boson model, after the spontaneous symmetry breaking under $U(1)$, two coupled nonlinear equations are obtained for which we present the exact…

High Energy Physics - Theory · Physics 2024-06-19 Z. Shahbazi , S. Miraboutalebi , F. Ahmadi
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