Holographic helical superconductor with higher curvature corrections

2018 ◽  
Vol 33 (01) ◽  
pp. 1850002 ◽  
Author(s):  
Subir Mukhopadhyay ◽  
Chandrima Paul
Keyword(s):  
Black Hole ◽  
Transition Temperature ◽  
Gauge Theory ◽  
Scalar Field ◽  
Chemical Potential ◽  
Critical Value ◽  
Free Energies ◽  
Holographic Superconductor ◽  
Bonnet Gravity ◽  
Chern Simons

We study [Formula: see text] gauge theory with Chern–Simons term, coupled to scalar field in adjoint, in Einstein–Gauss–Bonnet gravity. We explore phases of holographic superconductor in terms of the condensates and free energies in the background of AdS black hole and AdS soliton. In the case of black hole, we find with increasing strength of higher curvature terms, transition temperature decreases. For AdS soliton, the critical value of chemical potential increases as the higher curvature terms dominate.

Phases in holographic helical superconductor

2017 ◽  
Vol 32 (13) ◽  
pp. 1750064 ◽  
Author(s):  
Subir Mukhopadhyay ◽  
Chandrima Paul
Keyword(s):  
Gauge Theory ◽  
Critical Temperature ◽  
Scalar Field ◽  
Helical Structure ◽  
P Wave ◽  
Back Reaction ◽  
Free Energies ◽  
S Wave ◽  
Abelian Gauge ◽  
Chern Simons

We study SU(2)[Formula: see text]×[Formula: see text]U(1) gauge theory with Chern–Simons term, coupled to scalar field in adjoint, in a probe approximation by ignoring back reaction on metric. Considering a simple ansatz for non-Abelian gauge field with helical structure, we find it admits s-wave and p-wave phases along with their coexistence. We study free energies for different phases along with those for p-wave phases for different values of pitch and frequency dependence of optical conductivities below critical temperature.

scholarly journals Thermodynamics of soft wall model of AdS/QCD in Einstein-Maxwell-Gauss-Bonnet Gravity

2020 ◽  
Author(s):  
Shobhit Sachan ◽  
Sanjay Siwach
Keyword(s):  
Black Hole ◽  
Transition Temperature ◽  
Chemical Potential ◽  
Space Time ◽  
Hard Wall ◽  
Wall Model ◽  
Bonnet Gravity ◽  
First Order ◽  
Soft Wall Model ◽  
Soft Wall

We investigate the thermodynamics of confinement/deconfinement transition in soft wall model of QCD with Gauss-Bonnet corrections using AdS/CFT correspondence. In bulk AdS space-time the transition is geometric and is known as Hawking-Page transition. The Hawking-Page transition between two geometries, namely charged AdS black hole and thermally charged AdS have been studied with Gauss-Bonnet corrections up-to first order. The Gauss-Bonnet coupling modifies the transition temperature of the system, but qualitative features remain unchanged. We obtain the curves between chemical potential and transition temperature for different values of Gauss-Bonnet couplings. We find that there exist a point in μ-T plane where lines with different value of Gauss-Bonnet coupling cross each other. This point may be the onset of the transition from first order to cross over behavior. The results are compared with that of the hard wall model.

Various types of holographic metal/superconductor phase transitions with dark matter sector

2016 ◽  
Vol 26 (06) ◽  
pp. 1750046
Author(s):  
Yan Peng ◽  
Tao Chen ◽  
Guohua Liu ◽  
Pengwei Ma
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Dark Matter ◽  
Phase Transitions ◽  
Transition Temperature ◽  
De Sitter ◽  
Holographic Superconductor ◽  
Black Hole Background ◽  
Critical Phase ◽  
Matter Sector

We generalize the holographic superconductor model with dark matter sector by including the Stückelberg mechanism in the four-dimensional anti-de Sitter (AdS) black hole background away from the probe limit. We study effects of the dark matter sector on the [Formula: see text]-wave scalar condensation and find that the dark matter sector affects the critical phase transition temperature and also the order of phase transitions. At last, we conclude that the dark matter sector brings richer physics in this general metal/superconductor system.

scholarly journals Massive scalar field perturbation on Kerr black holes in dynamical Chern–Simons gravity

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Shao-Jun Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Massive Scalar ◽  
Coupling Constant ◽  
Field Mass ◽  
Field Perturbation ◽  
Massive Scalar Field ◽  
Kerr Black Holes ◽  
Chern Simons

AbstractWe study massive scalar field perturbation on Kerr black holes in dynamical Chern–Simons gravity by performing a $$(2+1)$$ ( 2 + 1 ) -dimensional simulation. Object pictures of the wave dynamics in time domain are obtained. The tachyonic instability is found to always occur for any nonzero black hole spin and any scalar field mass as long as the coupling constant exceeds a critical value. The presence of the mass term suppresses or even quench the instability. The quantitative dependence of the onset of the tachyonic instability on the coupling constant, the scalar field mass and the black hole spin is given numerically.

A three-dimensional gauge theory

1992 ◽  
Vol 70 (5) ◽  
pp. 301-304 ◽  
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Three Dimensional ◽  
Background Field ◽  
Field Method ◽  
Simons Theory ◽  
Point Function ◽  
Background Field Method ◽  
Chern Simons ◽  
Chern Simons Theory

We investigate a three-dimensional gauge theory modeled on Chern–Simons theory. The Lagrangian is most compactly written in terms of a two-index tensor that can be decomposed into fields with spins zero, one, and two. These all mix under the gauge transformation. The background-field method of quantization is used in conjunction with operator regularization to compute the real part of the two-point function for the scalar field.

scholarly journals THE STRUCTURE OF ADS BLACK HOLES AND CHERN–SIMONS THEORY IN 2 + 1 DIMENSIONS

1999 ◽  
Vol 14 (04) ◽  
pp. 505-520 ◽  
Author(s):  
SHARMANTHIE FERNANDO ◽  
FREYDOON MANSOURI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Excited States ◽  
Simons Theory ◽  
De Sitter ◽  
Sitter Group ◽  
Ads Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

We study anti-de Sitter black holes in 2 + 1 dimensions in terms of Chern–Simons gauge theory of the anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the black hole.

ANALYTIC TREATMENT ON STIMULATED HOLOGRAPHIC SUPERCONDUCTORS

2012 ◽  
Vol 27 (02) ◽  
pp. 1250010 ◽  
Author(s):  
XIAO-XIONG ZENG ◽  
XIAN-MING LIU ◽  
WEN-BIAO LIU
Keyword(s):  
Phase Transition ◽  
Transition Temperature ◽  
Phase Transition Temperature ◽  
Critical Frequency ◽  
Chemical Potential ◽  
Time Dependent ◽  
Holographic Superconductor ◽  
Holographic Superconductors ◽  
Frequency Regime ◽  
Sturm Liouville

Using the classical time-average approximation to deal with equation of motion for scalar field, holographic superconductor with a time-dependent chemical potential is studied analytically in probe limit. On the basis of the minimum eigenvalue of Sturm–Liouville equation, concrete values of the phase transition temperature and critical frequency are obtained. The condensed solution in high frequency regime is also calculated. It is shown that the phase transition temperature enhances and the superconductivity can be got easier as the frequency of the time-dependent chemical potential, which should be larger than the critical frequency, rises.

A holographic superconductor model with higher correction terms

2015 ◽  
Vol 30 (13) ◽  
pp. 1550069
Author(s):  
Yan Peng ◽  
Guohua Liu
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Scalar Field ◽  
Model Parameters ◽  
Holographic Superconductor ◽  
Transition Diagram ◽  
Holographic Superconductors ◽  
Black Hole Background ◽  
Correction Terms ◽  
Matter Fields

We study general models for holographic superconductors with higher correction terms of the scalar field in the four-dimensional AdS black hole background including the matter fields' backreaction on the metric. We explore the effects of the model parameters on the scalar condensation and find that different values of model parameters can determine the order of phase transitions. Moreover, we find that the higher correction terms provide richer physics in the phase transition diagram.

scholarly journals AdS black holes with higher derivative corrections in presence of string cloud

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Tanay K. Dey ◽  
Subir Mukhopadhyay
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Binding Energy ◽  
Parameter Space ◽  
Bonnet Gravity ◽  
Higher Derivative ◽  
Ads Black Holes ◽  
Black Hole Solutions

AbstractWe consider asymptotically AdS black hole solutions in Einstein Gauss Bonnet gravity in presence of string clouds. As in the case of black hole solutions in Gauss Bonnet gravity, it admits three black hole solutions in presence of string clouds as well within a region of the parameter space. Using holography, we have studied the quark–antiquark distance and binding energy in the dual gauge theory.

scholarly journals Quasinormal modes and their anomalous behavior for black holes in f(R) gravity

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Almendra Aragón ◽  
P. A. González ◽  
Eleftherios Papantonopoulos ◽  
Yerko Vásquez
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Critical Mass ◽  
Quasinormal Modes ◽  
Scalar Fields ◽  
Critical Value ◽  
Anomalous Behavior ◽  
Modified Theories Of Gravity ◽  
De Sitter ◽  
Massive Scalar Field

AbstractWe study the propagation of scalar fields in the background of an asymptotically de Sitter black hole solution in f(R) gravity. The aim of this work is to analyze in modified theories of gravity the existence of an anomalous decay rate of the quasinormal modes (QNMs) of a massive scalar field which was recently reported in Schwarzschild black hole backgrounds, in which the longest-lived modes are the ones with higher angular number, for a scalar field mass smaller than a critical value, while that beyond this value the behavior is inverted. We study the QNMs for various overtone numbers and they depend on a parameter $$\beta $$ β which appears in the metric and characterizes the f(R) gravity. For small $$\beta $$ β , i.e. small deviations from the Schwarzschild–dS black hole the anomalous behavior in the QNMs is present for the photon sphere modes, and the critical value of the mass of the scalar field depends on the parameter $$\beta $$ β while for large $$\beta $$ β , i.e. large deviations, the anomalous behavior and the critical mass does not appear. Also, the critical mass of the scalar field increases when the overtone number increases until the f(R) gravity parameter $$\beta $$ β approaches the near extremal limit at which the critical mass of the scalar field does not depend anymore on the overtone number. The imaginary part of the quasinormal frequencies is always negative leading to a stable propagation of the scalar fields in this background.

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