Renormalization-group fixed points, universal phase diagram, and1∕Nexpansion for quantum liquids with interactions near the unitarity limit

Renormalization group flows in W3, conformal theories are analyzed in relation to the ones in spin-4/3 parafermionic coset models and some of the operator content for new fixed points is identified.

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Multiple Superconducting Phases in UTe2: A Complex Analogy to Superfluid Phases of 3He

10.7566/jpsht.1.005 ◽

2021 ◽

Vol 1 ◽

Author(s):

Shinsaku Kambe ◽

Keyword(s):

Phase Diagram ◽

Physical Properties ◽

Low Temperatures ◽

Quantum Statistics ◽

Superconducting Phases ◽

Fermion Systems ◽

Quantum Liquids ◽

Wave Symmetry ◽

Ferromagnetic Interactions ◽

Ordered State

In quantum liquids, large differences are observed owing to differences in quantum statistics. The physical properties of liquid 3He (Fermion) and 4He (Boson) are considerably different at low temperatures. After the discovery of superconductivity in electron (i.e., Fermion) systems, a similar pairing ordered state was expected for 3He. Remarkably, the observed ordered state of 3He was more surprising than expected, multiple superfluid phases in the T-P phase diagram. The origin of the multiple phases was attributed to ferromagnetic interactions in the p-wave symmetry state.

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Fixed points of renormalization group for the hierarchical fermionic model

Journal of Statistical Physics ◽

10.1007/bf02188686 ◽

1994 ◽

Vol 76 (3-4) ◽

pp. 805-817 ◽

Cited By ~ 29

Author(s):

E. Yu. Lerner ◽

M. D. Missarov

Keyword(s):

Renormalization Group ◽

Fixed Points ◽

Fermionic Model

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Stability of renormalization group fixed points and decay of correlations

From Random Walks to Random Matrices ◽

10.1093/oso/9780198787754.003.0007 ◽

2019 ◽

pp. 101-110

Author(s):

Jean Zinn-Justin

Keyword(s):

Field Theory ◽

Renormalization Group ◽

Fixed Points ◽

Gradient Flow ◽

Scalar Fields ◽

Effective Field ◽

Coupling Constants ◽

Critical Systems ◽

Universal Properties ◽

General Physical

Chapter 7 is devoted to a discussion of the renormalization group (RG) flow when the effective field theory that describes universal properties of critical phenomena depends on several coupling constants. The universal properties of a large class of macroscopic phase transitions with short range interactions can be described by statistical field theories involving scalar fields with quartic interactions. The simplest critical systems have an O(N) orthogonal symmetry and, therefore, the corresponding field theory has only one quartic interaction. However, in more general physical systems, the flow of quartic interactions is more complicated. This chapter examines these systems from the RG viewpoint. RG beta functions are shown to generate a gradient flow. Some examples illustrate the notion of emergent symmetry. The local stability of fixed points is related to the value of the scaling field dimension.

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Renormalization group improved computation of correlation functions in theories with nontrivial phase diagram

Physical Review D ◽

10.1103/physrevd.94.025015 ◽

2016 ◽

Vol 94 (2) ◽

Author(s):

Alessandro Codello ◽

Alberto Tonero

Keyword(s):

Phase Diagram ◽

Renormalization Group ◽

Correlation Functions

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Isotropic Lifshitz scaling in four dimensions

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s021988782050053x ◽

2020 ◽

Vol 17 (04) ◽

pp. 2050053 ◽

Cited By ~ 2

Author(s):

Dario Zappalà

Keyword(s):

Renormalization Group ◽

Fixed Points ◽

Critical Dimension ◽

Two Dimensional ◽

Continuous Line ◽

Scalar Theory ◽

Functional Renormalization Group ◽

Four Dimensions ◽

Dimension Formula

The presence of isotropic Lifshitz points for a [Formula: see text]-symmetric scalar theory is investigated with the help of the Functional Renormalization Group. In particular, at the supposed lower critical dimension [Formula: see text], evidence for a continuous line of fixed points is found for the [Formula: see text] theory, and the observed structure presents clear similarities with the properties observed in the two-dimensional Berezinskii–Kosterlitz–Thouless phase.

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