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These lectures present the Fermi-liquid theory of superconductivity, which is applicable to a broad range of systems that are candidates for non-s wave pairing, {\it e.g.} the heavy fermions, organic metals and the CuO superconductors.…

Superconductivity · Physics 2024-08-26 P. Muzikar , D. Rainer , J. A. Sauls

We extend the superembedding formalism for 4D N=1 superconformal field theory (SCFT) to the case of fields in arbitrary representations of the superconformal group SU(2,2|1). As applications we obtain manifestly superconformally covariant…

High Energy Physics - Theory · Physics 2013-12-16 Walter D. Goldberger , Zuhair U. Khandker , Daliang Li , Witold Skiba

Matter at intermediate baryon densities and low temperatures is notoriously hard to tackle theoretically. Whereas lattice methods cannot cover more than rather small densities, perturbative methods are only applicable at much higher…

High Energy Physics - Phenomenology · Physics 2018-12-03 Alexander Haber

This article introduces Kerson Huang's theory on superfluid universe in these aspects: I. choose the asymptotically free Halpern-Huang scalar field(s) to drive inflation; II. use quantum turbulence to create matter; III. consider dark…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-29 Hwee-Boon Low , Chi Xiong

The topic of the review is the application of new ideas of unconventional quantum states to the physics of condensed matter, in particular of solid state, in the context of modern field theory. A comparison is made with classical papers on…

Strongly Correlated Electrons · Physics 2019-11-19 V. Yu. Irkhin , Yu. N. Skryabin

We provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk…

Statistical Mechanics · Physics 2009-05-18 François Sausset , Gilles Tarjus , Pascal Viot

The goal of this work is apply field theory methods to discuss turbulence in relativistic real fluids. We shalltake as representtive model an Israel-Stewart framework, where the conservation laws for the energy-momentum tensor are…

Fluid Dynamics · Physics 2026-05-26 Esteban Calzetta

These lecture notes provide a relatively self-contained introduction to field theoretic methods employed in the study of classical and quantum phase transitions.

Statistical Mechanics · Physics 2010-09-09 Flavio S. Nogueira

The two-dimensional ideal (Euler) fluids can be described by the classical fields of streamfunction, velocity and vorticity and, in an equivalent manner, by a model of discrete point-like vortices interacting in plane by a self-generated…

Fluid Dynamics · Physics 2010-01-05 Florin Spineanu , Madalina Vlad

The electronic properties of correlated metals with a strong electron-phonon coupling may be understood in terms of a combination of Landau's Fermi-liquid theory and the strong-coupling theory of Migdal and Eliashberg. In these lecture…

Superconductivity · Physics 2018-09-19 D. Rainer , J. A. Sauls

Starting from a microscopic model of liquids, we construct an effective theory of an overlap field through duplication of the system and coarse-graining. We then propose a recipe to extract a relaxation time and two characteristic length…

Disordered Systems and Neural Networks · Physics 2014-07-25 Sho Yaida

The field theoretical approach to duality in the superconducting phase transition is reviewed. Emphasis is given to the scaling behavior, and recent results are discussed.

Superconductivity · Physics 2016-11-23 F. S. Nogueira

New, superfluid specific additive integral of motion is found. This facilitates investigation of general thermodynamic equilibrium conditions for superfluid. The analysis is performed in an extended space of thermodynamic variables…

Soft Condensed Matter · Physics 2009-11-10 A. F. Andreev , L. A. Melnikovsky

These lectures are a brief introduction to scattering amplitudes. We begin with a review of basic kinematical concepts like the spinor helicity formalism, followed by a tutorial on bootstrapping tree-level scattering amplitudes. Afterwards,…

High Energy Physics - Phenomenology · Physics 2017-08-15 Clifford Cheung

Multicomponent superconductivity is a novel quantum phenomenon in many different superconducting materials, such as multiband ones in which different superconducting gaps open in different Fermi surfaces, films engineered at the atomic…

Superconductivity · Physics 2015-04-28 Milorad V. Milošević , Andrea Perali

Superfluid helium consists of two inter-penetrating fluids, a viscous normal fluid and an inviscid superfluid, coupled by a mutual friction. We develop a two-fluid shell model to study superfluid turbulence. We investigate the energy…

Statistical Mechanics · Physics 2015-05-30 D. H. Wacks , C. F. Barenghi

We focus on the question of how relativistic fluid dynamics should be thought of as a Wilsonian effective field theory emerging from Schwinger-Keldysh path integrals. Taking the basic principles of Schwinger-Keldysh formalism seriously, we…

High Energy Physics - Theory · Physics 2016-03-23 Felix M. Haehl , R. Loganayagam , Mukund Rangamani

Trapped and cooled gases of alkali atoms can be manipulated to exhibit a variety of interesting phenomena. For example, dilute gases of fermionic atoms, in 2 hyperfine states, can be cooled to temperatures where they become superfluid. An…

High Energy Physics - Lattice · Physics 2009-09-29 Matthew Wingate

We propose a field-theoretic framework for ideal hydrodynamics of charged relativistic fluids formulated in terms of a complex scalar field defined on a spacelike hypersurface comoving with the fluid. In the normal phase, the dynamics of…

High Energy Physics - Theory · Physics 2026-03-18 Aleksander Głódkowski

In addition to the conventional contribution that is directly controlled by the single-particle energy spectrum, the superfluid phase stiffness of a two-component Fermi gas has a geometric contribution that is governed by the quantum metric…

Quantum Gases · Physics 2019-02-05 M. Iskin
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