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By studying the 2-dimensional Su-Schrieffer-Heeger-Bose-Hubbard model, we show the existence of topological Higgs amplitude modes in the strongly interacting superfluid phase. Using the slave boson approach, we find that, in the large…

Quantum Gases · Physics 2021-11-01 Junsen Wang , Youjin Deng , Wei Zheng

We theoretically investigate the spectrum of elementary excitations of a trapped dipolar quantum gas across the BEC-supersolid phase transition. Our calculations reveal the existence of distinct Higgs and Nambu-Goldstone modes that emerge…

The Higgs amplitude mode in superconductors is the condensed matter analogy of Higgs bosons in particle physics. We investigate the time evolution of Higgs amplitude mode in massless Dirac systems, induced by a weak quench of an attractive…

Superconductivity · Physics 2020-07-31 Ming Lu , Haiwen Liu , Pei Wang , X. C. Xie

Two paradigms for the origin of electroweak superconductivity are a weakly coupled scalar condensate, and a strongly coupled fermion condensate. The former suffers from a finetuning problem unless there are cancelations to radiative…

High Energy Physics - Phenomenology · Physics 2009-11-11 Emanuel Katz , Ann E. Nelson , Devin G. E. Walker

The amplitude mode is a ubiquitous collective excitation in condensed matter systems with broken continuous symmetry. It is expected in antiferromagnets, short coherence length superconductors, charge density waves, and lattice Bose…

Superconductivity · Physics 2013-05-29 Daniel Podolsky , Assa Auerbach , Daniel P. Arovas

We compute the correction to the muon magnetic moment in theories where the Higgs is a pseudo-Goldstone boson and leptons are partially composite. Using a general effective lagrangian we show that in some regions of parameters a sizable new…

High Energy Physics - Phenomenology · Physics 2014-09-17 Oleg Antipin , Stefania De Curtis , Michele Redi , Carlotta Sacco

We present a model of electroweak symmetry breaking in which the Higgs boson is a pseudo-Nambu-Goldstone boson. By embedding the standard model SU(2) x U(1) into an SU(4) x U(1) gauge group, one-loop quadratic divergences to the Higgs mass…

High Energy Physics - Phenomenology · Physics 2009-11-10 David E. Kaplan , Martin Schmaltz

I review the idea of realizing the Higgs as a composite pseudo-Nambu-Goldstone boson of a new strongly-interacting sector and collect major constraints on the parameter space of minimal models. Besides limits from electroweak precision…

High Energy Physics - Phenomenology · Physics 2022-09-21 Florian Goertz

Low-energy spin excitations in any long-range ordered magnetic system in the absence of magnetocrystalline anisotropy are gapless Goldstone modes emanating from the ordering wave vectors. In helimagnets, these modes hybridize into the…

Superfluid helium, describable by a two-component order parameter, exhibits only the Bogolubov mode with energy $\to 0$ at long wavelengths, while a Lorentz-invariant theory with a two-component order parameter exhibits a finite energy mode…

Statistical Mechanics · Physics 2007-05-23 C. M. Varma

The Higgs amplitude mode of the order parameter of an ultracold confined Fermi gas in the BCS regime after a quench of the coupling constant is analyzed theoretically. Characteristic features are a damped oscillation which at a certain…

Quantum Gases · Physics 2014-12-09 S. Hannibal , P. Kettmann , M. D. Croitoru , A. V. Vagov , V. M. Axt , T. Kuhn

We investigate order parameter fluctuations in the Hubbard model within a time-dependent Gutzwiller approach. While in the weak coupling limit we find that the amplitude fluctuations are short-lived due to a degeneracy with the energy of…

Strongly Correlated Electrons · Physics 2025-03-14 J. Lorenzana , G. Seibold

We introduce a new method that allows for the Higgs to be the inflaton. That is, we let the Higgs be a pseudo-Nambu-Goldstone (pNG) boson of a global coset symmetry $G/H$ that spontaneously breaks at an energy scale $\sim 4\pi f$ and give…

High Energy Physics - Phenomenology · Physics 2023-07-28 Stephon Alexander , Cyril Creque-Sarbinowski , Humberto Gilmer , Katherine Freese

We study the idea of a composite Higgs in the framework of a five-dimensional AdS theory. We present the minimal model of the Higgs as a pseudo-Goldstone boson in which electroweak symmetry is broken dynamically via top loop effects, all…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kaustubh Agashe , Roberto Contino , Alex Pomarol

We investigate the potential of precision Higgs factory measurements to discover signatures of a representative model of electroweak symmetry breaking in which the Higgs boson arises as a composite Nambu-Goldstone boson. In this model, as…

High Energy Physics - Phenomenology · Physics 2026-05-19 Kamal Maayergi , Devin G. E. Walker , Ora Cullen , Michael E. Peskin

We consider the scenario, in which the light Higgs scalar boson appears as the Pseudo - Goldstone boson. We discuss examples both in condensed matter and in relativistic field theory. In $^3$He-B the symmetry breaking gives rise to 4…

High Energy Physics - Phenomenology · Physics 2015-09-07 G. E. Volovik , M. A. Zubkov

As pointed out by Nambu&Goldstone, continuous symmetry breaking gives rise to gapless bosonic excitation. In superconductors, continuous local U(1) gauge symmetry is broken. The gapless excitation thus created is the collective phase mode…

Superconductivity · Physics 2025-12-12 Hao Chu , Haotian Zhang , Zhili Zhang

Spontaneous symmetry breaking is ubiquitous in physics. Its spectroscopic signature consists in the softening of a specific mode upon approaching the transition from the high symmetry side and its subsequent splitting into a zero-frequency…

In crystalline solids the acoustic phonon is known to be the frequency-gapless Goldstone boson emerging from the spontaneous breaking of the continuous Galilean symmetry induced by the crystal lattice. It has also been described as the…

Statistical Mechanics · Physics 2019-10-22 Marco Vallone

We study the Higgs mode of a strongly-interacting Fermi gas in the crossover regime between a fermionic and bosonic superfluid. By periodically modulating the interaction strength of the gas, we parametrically excite the Higgs mode and…

Quantum Gases · Physics 2024-10-15 Andreas Kell , Moritz Breyer , Daniel Eberz , Michael Köhl