scholarly journals One-dimensional fermionic systems after interaction quenches and their description by bosonic field theories

2013 ◽  
Vol 15 (7) ◽  
pp. 073012 ◽  
Author(s):  
Simone A Hamerla ◽  
Götz S Uhrig
Keyword(s):  
Field Theories ◽  
Bosonic Field ◽  
One Dimensional ◽  
Fermionic Systems

Chiral bosonic field theories and the quantum Hall effect

2001 ◽  
Vol 79 (9) ◽  
pp. 1121-1131 ◽  
Author(s):  
P Bracken
Keyword(s):  
Hall Effect ◽  
Gauge Transformation ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Equation Of Motion ◽  
Hall Conductivity ◽  
Field Theories ◽  
Bosonic Field ◽  
Chern Simons

The gauge-transformation properties of the actions of certain scalar and Chern–Simons theories are investigated, including contributions from the boundary. By imposing chirality constraints on the fields, these types of theories can be used to describe the quantum Hall effect. It is shown that the corresponding equation of motion for the associated current for the theory generates an anomaly, which can be related directly to the Hall conductivity. PACS Nos.: 73.43, 03.70, 11.10, 11.30R

A basic two-state model for bosonic field theories with a cubic nonlinearity

2005 ◽  
Vol 38 (16) ◽  
pp. 3505-3516 ◽  
Author(s):  
Artur Ishkhanyan ◽  
Juha Javanainen ◽  
Hiroki Nakamura
Keyword(s):  
State Model ◽  
Field Theories ◽  
Cubic Nonlinearity ◽  
Bosonic Field ◽  
Two State Model

Conformal Field Theory of Free Bosonic and Fermionic Fields

2020 ◽  
pp. 443-475
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Field Theories ◽  
Majorana Fermion ◽  
Partition Functions ◽  
Conformal Field Theories ◽  
Bosonic Field ◽  
Conformal Field ◽  
Mathematical Identities ◽  
Modular Transformations ◽  
Fermionic Fields ◽  
The Subject

Free theories are usually regarded as trivial examples of quantum systems. This chapter proves that this is not the case of the conformal field theories associated to the free bosonic and fermionic fields. The subject is not only full of beautiful mathematical identities but is also the source of deep physical concepts with far reaching applications. Chapter 12 also covers quantization of the bosonic field, vertex operators, the free bosonic field on a torus, modular transformations, the quantization of the free Majorana fermion, the Neveu–Schwarz and Ramond sectors, fermions on a torus, calculus for anti-commuting quantities and partition functions.

scholarly journals TRIONIC AND QUARTETTING PHASES IN ONE-DIMENSIONAL MULTICOMPONENT ULTRACOLD FERMIONS

2008 ◽  
Vol 17 (10) ◽  
pp. 2110-2117 ◽  
Author(s):  
P. LECHEMINANT ◽  
P. AZARIA ◽  
E. BOULAT ◽  
S. CAPPONI ◽  
G. ROUX ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Nuclear Physics ◽  
Bound States ◽  
Cold Atoms ◽  
Low Energy ◽  
Low Density ◽  
Large Domain ◽  
One Dimensional ◽  
Fermionic Systems ◽  
Numerical Approaches

We investigate the possible formation of a molecular condensate, which might be, for instance, the analogue of the alpha condensate of nuclear physics, in the context of multicomponent cold atoms fermionic systems. A simple paradigmatic model of N-component fermions with contact interactions loaded into a one-dimensional optical lattice is studied by means of low-energy and numerical approaches. For attractive interaction, a quasi-long-range molecular superfluid phase, formed from bound-states made of N fermions, emerges at low density. We show that trionic and quartetting phases, respectively for N = 3,4, extend in a large domain of the phase diagram and are robust against small symmetry-breaking perturbations.

scholarly journals Dimensional Enhancement via Supersymmetry

2011 ◽  
Vol 2011 ◽  
pp. 1-45 ◽  
Author(s):  
M. G. Faux ◽  
K. M. Iga ◽  
G. D. Landweber
Keyword(s):  
Quantum Mechanics ◽  
Representation Theory ◽  
Gauge Invariance ◽  
Extra Dimensions ◽  
Field Theories ◽  
Consistency Test ◽  
One Dimensional ◽  
Supersymmetric Field Theories ◽  
Higher Dimensional ◽  
Supersymmetric Models

We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describes “shadows” of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can “enhance” to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of “phantoms” which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics.

Fractional excitations in one-dimensional fermionic systems

2019 ◽  
Vol 94 (11) ◽  
pp. 115808
Author(s):  
Fei Ye ◽  
P A Marchetti
Keyword(s):  
One Dimensional ◽  
Fermionic Systems

scholarly journals Topological invariants and interacting one-dimensional fermionic systems

2012 ◽  
Vol 86 (20) ◽  
Author(s):  
Salvatore R. Manmana ◽  
Andrew M. Essin ◽  
Reinhard M. Noack ◽  
Victor Gurarie
Keyword(s):  
Topological Invariants ◽  
One Dimensional ◽  
Fermionic Systems

INTEGRABLE DEFORMATIONS OF THE NONUNITARY MINIMAL CONFORMAL MODEL ℳ3,5

1992 ◽  
Vol 07 (20) ◽  
pp. 5027-5044 ◽  
Author(s):  
G. MUSSARDO
Keyword(s):  
Field Theories ◽  
Conformal Space ◽  
One Dimensional ◽  
Conformal Model ◽  
Integrable Deformation ◽  
Anomalous Dimensions ◽  
Integrable Deformations ◽  
Scaling Region ◽  
The One ◽  
Space Approach

The scaling region of the nonunitary minimal conformal model M3,5 is described by three different integrable massive field theories. We propose the scattering theory for the integrable deformation of M3,5 by the field ψ with anomalous dimensions [Formula: see text]. The spectrum of this theory is confirmed by the Truncation Conformal Space Approach. We also consider the thermodynamics of the one-dimensional quantum system defined by the transfer matrix relative to the deformation of M3,5 by the field φ with anomalous dimensions [Formula: see text]. This deformation drives the original conformal model into a region of the phase diagram where there are plasma oscillations.

Sign in / Sign up

Export Citation Format

Share Document