scholarly journals Effective field theory of the Higgs mode in a two-dimensional dilute Bose gas

2021 ◽  
Author(s):  
Ji-Chong Yang ◽  
Yu Shi
Keyword(s):  
Field Theory ◽  
Spectral Function ◽  
Effective Field Theory ◽  
Temperature Limit ◽  
Bose Gas ◽  
Effective Field ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Text Model ◽  
Higgs Mode

In this paper, we investigate the spectral function of the Higgs mode in a two-dimensional Bose gas by using the effective field theory in the zero-temperature limit. Our approach explains the experimental feature that the peak of the spectral function is a soft continuum rather than a sharp peak, broadens and vanishes in the superfluid phase, which cannot be explained in terms of the [Formula: see text] model. We also find that the scalar susceptibility is the same as the longitudinal susceptibility.

scholarly journals Higgs mode in (2 + 1)-dimensional O(2) model

2021 ◽  
Author(s):  
Ji-Chong Yang ◽  
Yu Shi
Keyword(s):  
Weak Interaction ◽  
Temperature Limit ◽  
Bose Gas ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Spectral Functions ◽  
Text Model ◽  
Higgs Mode ◽  
Mode A

In this paper, we investigate the spectral functions of the Higgs mode in [Formula: see text] model, which can be experimentally realized in a two-dimensional Bose gas. Zero temperature limit is considered. Our calculation fully includes the 2-loop contributions. Peaks show up in the spectral functions of both the longitudinal and the scalar susceptibilities. Thus, this model cannot explain the disappearance of the response at the weak interaction limit. Neither it can explain the similarity between the longitudinal and the scalar susceptibilities in the visibility of the Higgs mode. A possible lower peak at about [Formula: see text] is also noted.

scholarly journals SOME ALGEBRAIC SYMMETRIES OF (2, 2)-SUPERSYMMETRIC SYSTEMS

2001 ◽  
Vol 16 (10) ◽  
pp. 663-671
Author(s):  
TRISTAN HÜBSCH
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Hilbert Spaces ◽  
Dimensional Space ◽  
Space Time ◽  
Effective Field ◽  
Target Space ◽  
Two Dimensional ◽  
Target Field ◽  
Dimensional Space Time

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2, 2)-supersymmetric systems in two-dimensional space–time which are closely related to superstring models. They all turn out to possess some hitherto unexploited and geometrically and topologically unobstructed symmetries, providing new tools for studying the topology and geometry of superstring target space–times, and so the dynamics of the effective field theory in these.

scholarly journals Loop Models, Marginally Rough Interfaces, and the Coulomb Gas

1997 ◽  
Vol 11 (01n02) ◽  
pp. 153-159 ◽  
Author(s):  
Jané Kondev
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Physical Interpretation ◽  
Scaling Limit ◽  
Coarse Graining ◽  
Coulomb Gas ◽  
Effective Field ◽  
Liouville Theory ◽  
Exact Results ◽  
Two Dimensional

We develop a coarse-graining procedure for two-dimensional models of fluctuating loops by mapping them to interface models. The result is an effective field theory for the scaling limit of loop models, which is found to be a Liouville theory with imaginary couplings. This field theory is completely specified by geometry and conformal invariance alone, and it leads to exact results for the critical exponents and the conformal charge of loop models. A physical interpretation of the Dotsenko-Fateev screening charge is found.

scholarly journals Nodal Liquid Theory of the Pseudo-Gap Phase of High-Tc Superconductors

1998 ◽  
Vol 12 (10) ◽  
pp. 1033-1068 ◽  
Author(s):  
Leon Balents ◽  
Matthew P. A. Fisher ◽  
Chetan Nayak
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Landau Theory ◽  
Quantum Phase Transitions ◽  
High Temperature Superconductors ◽  
Effective Field ◽  
Charge Ordering ◽  
Quantum Phase ◽  
Zero Temperature ◽  
D Wave

We introduce and study the nodal liquid, a novel zero-temperature quantum phase obtained by quantum-disordering a d-wave superconductor. It has numerous remarkable properties which lead us to suggest it as an explanation of the pseudo-gap state in underdoped high-temperature superconductors. In the absence of impurities, these include power-law magnetic order, a T-linear spin susceptibility, nontrivial thermal conductivity, and two- and one-particle charge gaps, the latter evidenced, e.g. in transport and electron photoemission (which exhibits pronounced fourfold anisotropy inherited from the d-wave quasiparticles). We use a (2+1)-dimensional duality transformation to derive an effective field theory for this phase. The theory is comprised of gapless neutral Dirac particles living at the former d-wave nodes, weakly coupled to the fluctuating gauge field of a dual Ginzburg–Landau theory. The nodal liquid interpolates naturally between the d-wave superconductor and the insulating antiferromagnet, and our effective field theory is powerful enough to permit a detailed analysis of a panoply of interesting phenomena, including charge ordering, antiferromagnetism, and d-wave superconductivity. We also discuss the zero-temperature quantum phase transitions which separate the nodal liquid from various ordered phases.

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