Gapped dilatons in scale invariant superfluids

费米子超流体基态的低能奇异性

Low energy singularities in the ground state of fermionic superfluids

分析了序参量涨落对完全带隙电中性费米子超流体基态的影响。与自发破缺对称性相关的Goldstone模导致了$d \leq 3$维中的耦合奇点问题。我们推导出一个最小的单圈重整化群方程组，它完全捕捉到了奇异性的相互作用。流动方程是基于尺度相关有效作用的对称守恒截断。计算了纵向、横向和混合序参量关联的低能行为及其对费米能隙的影响。我们证明了分析，保护戈德斯通模式的取消尊重的流量，我们提出了一个数值解的二维吸引力哈伯德模型的流量方程。

Fractons in effective field theories for spontaneously broken translations

We study the concomitant breaking of spatial translations and dilatations in Ginzburg-Landau-like models, where the dynamics responsible for the symmetry breaking is described by an effective Mexican hat potential for spatial gradients. We show that there are fractonic modes with either subdimensional propagation or no propagation altogether, namely, immobility. Such class of effective field theories encompasses instances of helical superfluids and meta-fluids, where fractons can be connected to an emergent symmetry under higher moment charges, leading in turns to the trivialization of some el…

Nearly Critical Holographic Superfluids

We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density of the system. We derive an effective theory for the long wavelength limit of the gapless and pseudo-gapped modes by using analytic techniques in the bulk. We match our construction with Model F in the classification of Hohenberg and Halperin and compute the complex dissipative kinetic transport coefficient in terms of thermodynamics and black hole horizon d…

Mass spectrum of gapped, non-confining theories with multi-scale dynamics

We study the mass spectrum of spin-0 and spin-2 composite states in a one-parameter family of three-dimensional field theories by making use of their dual descriptions in terms of supergravity. These theories exhibit a mass gap despite being non-confining, and by varying a parameter can be made to flow arbitrarily close to an IR fixed point corresponding to the Ooguri-Park conformal field theory. At the opposite end of parameter space, the dynamics becomes quasi-confining. The glueball spectrum interpolates between these two limiting cases, and for nearly conformal dynamics approaches the resu…

Gapped Continuum Kaluza-Klein spectrum

We consider a warped five-dimensional model with an ultraviolet (UV) brane and, on top of the Standard Model isolated modes, continua of KK modes with different mass gaps for all particles: gauge bosons, fermions, graviton, radion and Higgs boson. The model can be considered as a modelization in five dimensions of gapped unparticles. The five dimensional metric has a singularity, at a finite (infinite) value of the proper (conformal) coordinate, which is admissible as it supports finite temperature in the form of a black hole horizon. An infrared (IR) brane, with particular jumping conditions,…

关于连续有效场论、引力与全息

On Continuum Effective Field Theories, Gravity and Holography

本文论证具有自由连续区的有效场论无法耦合标准引力，并通过5维线性dilaton全息模型证明膜世界可自动产生暗物质，为连续EFT与引力及全息的关系提供了新见解。

Integrating out beyond tree level and relativistic superfluids

We revisit certain subtleties of renormalization that arise when one derives a low-energy effective action by integrating out the heavy fields of a more complete theory. Usually these subtleties are circumvented by matching some physical observables, such as scattering amplitudes, but a more involved procedure is required if one is interested in deriving the effective theory to all orders in the light fields (but still to fixed order in the derivative expansion). As a concrete example, we study the $U(1)$ Goldstone low-energy effective theory that describes the spontaneously broken phase of a …