Global quantum anomaly

2008 ◽  
pp. 368-372
Author(s):  
Andrei Slavnov
Keyword(s):  
Quantum Anomaly

scholarly journals Harmonicity in supersymmetry and its quantum anomaly

2008 ◽  
Vol 794 (1-2) ◽  
pp. 348-380 ◽  
Author(s):  
I. Antoniadis ◽  
S. Hohenegger ◽  
K.S. Narain ◽  
E. Sokatchev
Keyword(s):  
Quantum Anomaly

scholarly journals Do we come from a quantum anomaly?

2019 ◽  
Vol 28 (14) ◽  
pp. 1944002 ◽  
Author(s):  
Spyros Basilakos ◽  
Nick E. Mavromatos ◽  
Joan Solà Peracaula
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Energy Density ◽  
Hubble Parameter ◽  
Vacuum Energy ◽  
Vacuum Energy Density ◽  
Quantum Anomaly ◽  
Inflationary Phase ◽  
Axion Field ◽  
The Universe

We present a string-based picture of the cosmological evolution in which (CP-violating) gravitational anomalies acting during the inflationary phase of the universe cause the vacuum energy density to “run” with the effective Hubble parameter squared, [Formula: see text], thanks to the axion field of the bosonic string multiplet. This leads to baryogenesis through leptogenesis with massive right-handed neutrinos. The generation of chiral matter after inflation helps in cancelling the anomalies in the observable radiation- and matter-dominated eras. The present era inherits the same “running vacuum” structure triggered during the inflationary time by the axion field. The current dark energy is thus predicted to be mildly dynamical, and dark matter should be made of axions. Paraphrasing Carl Sagan [ https://www.goodreads.com/author/quotes/10538.Carl_Sagan .]: we are all anomalously made from starstuff.

scholarly journals Analogous BMS symmetry in QED and quantum anomaly in Dirac and Weyl semimetals

2020 ◽  
Vol 17 (07) ◽  
pp. 2050095
Author(s):  
Andrea Addazi ◽  
Antonino Marcianò
Keyword(s):  
Particle Physics ◽  
Infinite Dimensional ◽  
Gauge Symmetries ◽  
Quantum Anomaly ◽  
Weyl Semimetals

We show that the asymptotic infinite dimensional enlarged gauge symmetries constructed for QED are anomalous in Weyl semimetals. This symmetry is particularly important in particle physics for its analogy with the Bondi–Metzner–Sachs (BMS) symmetries in gravity, as well as for its connection with QED soft IR theorems. This leads to observable effects, because of the induction of a new current in the material, which carries a memory of the BMS symmetry precursor.

scholarly journals DE SITTER COSMOLOGY FROM GAUSS–BONNET DARK ENERGY WITH QUANTUM EFFECTS

2008 ◽  
Vol 17 (11) ◽  
pp. 2159-2170 ◽  
Author(s):  
EMILIO ELIZALDE ◽  
JOHN QUIROGA HURTADO ◽  
HÉCTOR IVÁN ARCOS
Keyword(s):  
Dark Energy ◽  
Correction Term ◽  
Quantum Effects ◽  
Classical Case ◽  
De Sitter ◽  
Quantum Anomaly ◽  
The Stability ◽  
M Theory ◽  
Friedmann Robertson Walker ◽  
Matter Fields

A Gauss–Bonnet dark energy model is considered. It is inspired by string/M-theory and also takes into account quantum contributions, which are introduced from a conformal quantum anomaly. The corresponding solutions for the Hubble rate, H, are studied starting from the Friedmann–Robertson–Walker equation. It is seen that, as a pure effect of the quantum contributions, a new solution for H exists in some region, which does not appear in the classical case. The behavior of all encountered solutions is studied with care, in particular the role played by the quantum correction term — which depends on the number of matter fields — in the stability of the solutions around its asymptotic value. It is argued that, contrary to what happens in the classical case, quantum effects remarkably lead to the realization of a de Sitter stage which corresponds to the inflation/dark energy stages, even for positive values of the f0 constant (coupling of the field with the Gauss–Bonnet invariant).

scholarly journals Quantum scale anomaly and spatial coherence in a 2D Fermi superfluid

Science ◽  
2019 ◽  
Vol 365 (6450) ◽  
pp. 268-272 ◽  
Author(s):  
Puneet A. Murthy ◽  
Nicolò Defenu ◽  
Luca Bayha ◽  
Marvin Holten ◽  
Philipp M. Preiss ◽  
...  
Keyword(s):  
Spatial Coherence ◽  
Theoretical Description ◽  
Critical Properties ◽  
Many Body ◽  
Fermi Superfluid ◽  
Quantum Anomaly ◽  
Momentum Distributions ◽  
Quantum Anomalies ◽  
Many Body Systems ◽  
Space Dynamics

Quantum anomalies are violations of classical scaling symmetries caused by divergences that appear in the quantization of certain classical theories. Although they play a prominent role in the quantum field theoretical description of many-body systems, their influence on experimental observables is difficult to discern. In this study, we discovered a distinctive manifestation of a quantum anomaly in the momentum-space dynamics of a two-dimensional (2D) Fermi superfluid of ultracold atoms. The measured pair momentum distributions of the superfluid during a breathing mode cycle exhibit a scaling violation in the strongly interacting regime. We found that the power-law exponents that characterize long-range phase correlations in the system are modified by the quantum anomaly, emphasizing the influence of this effect on the critical properties of 2D superfluids.

The constraint equation of the vertex function of quantum anomaly and Dyson–Schwinger equations in massless QED2 theory

2020 ◽  
Vol 35 (18) ◽  
pp. 2050146
Author(s):  
Yang Yu ◽  
Jian-Feng Li
Keyword(s):  
Vertex Function ◽  
Axial Vector ◽  
Splitting Method ◽  
Vector Current ◽  
Constraint Equation ◽  
Axial Vector Current ◽  
Fermion Propagator ◽  
Schwinger Model ◽  
Quantum Anomaly ◽  
Point Splitting

In this paper, we calculate the quantum anomaly for the longitudinal and the transverse Ward–Takahashi (WT) identities for vector and axial-vector currents in QED2 theory by means of the point-splitting method. It is found that the longitudinal WT identity for vector current and transverse WT identity for axial-vector current have no anomaly while the longitudinal WT identity for axial-vector current and the transverse WT identity for vector current have anomaly in QED2 theory. Moreover, we study the four WT identities in massless QED2 theory and get the result that the four WT identities together give the constraint equation of the vertex function of quantum anomaly. At last, we discuss the Dyson–Schwinger equations in massless QED2 theory. It is found that the vertex function of the quantum anomaly has corrections for the fermion propagator and Schwinger model.

CONFINEMENT AND QUANTUM ANOMALY IN QUASI-1D SPINLESS FERMION CHAINS

2013 ◽  
Vol 27 (19) ◽  
pp. 1350093 ◽  
Author(s):  
THIAGO PRUDÊNCIO ◽  
ÁLVARO FERRAZ
Keyword(s):  
Renormalization Group ◽  
Fixed Points ◽  
Quantum Confinement ◽  
Luttinger Liquid ◽  
Direct Consequence ◽  
Spatial Dimension ◽  
Dirac Fields ◽  
Spinless Fermion ◽  
Quantum Anomaly ◽  
Field Renormalization

We consider the field renormalization group (RG) of two coupled one-spatial dimension (1D) spinless fermion chains under intraforward, interforward, interbackscattering and interumklapp interactions until two-loops order. Up to this order, we demonstrate the quantum confinement in the RG flow, where the interband chiral Fermi points reduce to single chiral Fermi points and the renormalized interaction couplings have Luttinger liquid fixed points. We show that this quasi-1D system is equivalently described in terms of one- and two-color interactions and address the problem of quantum anomaly, inherent to this system, as a direct consequence of coupling 1+1 free Dirac fields to one- and two-color interactions.

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