scholarly journals Saturating the unitarity bound in AdS/CFT(AdS)

2012 ◽  
Vol 2012 (5) ◽  
Author(s):  
Thorsten Ohl ◽  
Christoph F. Uhlemann
Keyword(s):  
Unitarity Bound

Unitarity Bound on the Scale of Fermion Mass Generation

1987 ◽  
Vol 59 (21) ◽  
pp. 2405-2407 ◽  
Author(s):  
T. Appelquist ◽  
M. S. Chanowitz
Keyword(s):  
Fermion Mass ◽  
Mass Generation ◽  
Unitarity Bound

Unitarity Bound on the Scale of Fermion Mass Generation

1988 ◽  
Vol 60 (15) ◽  
pp. 1589-1589 ◽  
Author(s):  
T. Appelquist ◽  
M. S. Chanowitz
Keyword(s):  
Fermion Mass ◽  
Mass Generation ◽  
Unitarity Bound

scholarly journals Unitarity bound violation in holography and the instability toward the charge density wave

2020 ◽  
Vol 35 (22) ◽  
pp. 2050128
Author(s):  
Geunho Song ◽  
Yunseok Seo ◽  
Sang-Jin Sin
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Fermi Surface ◽  
Charge Density ◽  
Spectral Function ◽  
Charge Density Wave ◽  
Density Wave ◽  
Surface Phenomena ◽  
Unitarity Bound ◽  
Conformal Field

We study the spectral function of holographic fermions with Pauli term. We find the [Formula: see text]-dependent instability signaled by the tachyonic spectrum ([Formula: see text]-gap) from the [Formula: see text] regime where unitarity is violated. We suggest that this is the instability toward the charge density wave (CDW) based on the similarity of the unitarity violation in conformal field theory (CFT) and the nesting Fermi surface phenomena in weakly interaction system: both of them give divergent enhancement of degree of freedom.

Improved unitarity bound on the slope parameter

1979 ◽  
Vol 19 (5) ◽  
pp. 1465-1467 ◽  
Author(s):  
A. D. Gangal ◽  
A. S. Vengurlekar
Keyword(s):  
Slope Parameter ◽  
Unitarity Bound

scholarly journals Bootstrap experiments on higher dimensional CFTs

2018 ◽  
Vol 33 (07) ◽  
pp. 1850036 ◽  
Author(s):  
Yu Nakayama
Keyword(s):  
Empirical Relationship ◽  
Adjoint Representation ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Time Dimension ◽  
Unitarity Bound ◽  
Conformal Field ◽  
Dimension Formula ◽  
Conformal Bootstrap ◽  
Higher Dimensional

Recent programs on conformal bootstrap suggest an empirical relationship between the existence of nontrivial conformal field theories and nontrivial features such as a kink in the unitarity bound of conformal dimensions in the conformal bootstrap equations. We report the existence of nontrivial kink-like behaviors in the unitarity bound of scalar operators in the adjoint representation of the [Formula: see text] symmetric conformal field theories. They have interesting properties: (1) the kink-like behaviors exist in [Formula: see text] dimensions; (2) the location of kink-like behaviors are when the unitarity bound hits the space–time dimension [Formula: see text]; (3) there exists a “conformal window” of [Formula: see text], where [Formula: see text] in [Formula: see text] and [Formula: see text] in [Formula: see text].

HAGEDORN STRINGS IN AdS3

2008 ◽  
Vol 23 (17n20) ◽  
pp. 1552-1564
Author(s):  
FENG-LI LIN ◽  
TOSHIHIRO MATSUO ◽  
DAN TOMINO
Keyword(s):  
Black Hole ◽  
Partition Function ◽  
Density Of States ◽  
Flat Space ◽  
Bosonic String ◽  
Internal Space ◽  
Btz Black Hole ◽  
Unitarity Bound ◽  
Scale Size ◽  
Z Transformation

Motivated by the possibility of formulating a strings/black hole correspondence in AdS space, we extract the Hagedorn behavior of thermal AdS 3 bosonic string from 1-loop partition function of SL(2,R) WZW model. We find that the Hagedorn temperature is monotonically increasing as the AdS radius shrinks, reaches a maximum of order of string scale set by the unitarity bound of the CFT for internal space. The resulting density of states near the Hagedorn temperature resembles the form as for strings in flat space and is dominated by the space-like long string configurations. We also examine strings on BTZ background obtained through SL(2, Z) transformation. We find a tachyonic divergence for a BTZ black hole of string scale size.

scholarly journals $S$ -matrix unitarity and renormalizability in higher-derivative theories

2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
Yugo Abe ◽  
Takeo Inami ◽  
Keisuke Izumi ◽  
Tomotaka Kitamura ◽  
Toshifumi Noumi
Keyword(s):  
Gauge Theories ◽  
Einstein Gravity ◽  
Field Theories ◽  
Kinetic Term ◽  
Negative Norm ◽  
Unitarity Bound ◽  
Higher Derivative ◽  
S Matrix ◽  
Scalar Field Models ◽  
Consistency Requirement

Abstract We investigate the relation between $S$-matrix unitarity ($SS^\dagger=1$) and renormalizability in theories with negative-norm states. The relation has been confirmed in many field theories, including gauge theories and Einstein gravity, by analyzing the unitarity bound, which follows from the $S$-matrix unitarity and the norm positivity. On the other hand, renormalizable theories with a higher-derivative kinetic term do not necessarily satisfy the unitarity bound because of the negative-norm states. In these theories it is not known whether the $S$-matrix unitarity provides a nontrivial constraint related to the renormalizability. In this paper, by relaxing the assumption of norm positivity we derive a bound on scattering amplitudes weaker than the unitarity bound, which may be used as a consistency requirement for $S$-matrix unitarity. We demonstrate in scalar field models with a higher-derivative kinetic term that the weaker bound and the renormalizability imply identical constraints.

scholarly journals AdS/CFT beyond the unitarity bound

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Tomás Andrade ◽  
Donald Marolf
Keyword(s):  
Unitarity Bound

scholarly journals Perturbative S-matrix unitarity (S†S = 1) in Rμν2 gravity

2021 ◽  
pp. 2150105
Author(s):  
Yugo Abe ◽  
Takeo Inami ◽  
Keisuke Izumi
Keyword(s):  
Tree Level ◽  
Unitarity Bound ◽  
Counter Example ◽  
S Matrix ◽  
Curvature Theory ◽  
Theory Of Gravity

We show that in the quadratic curvature theory of gravity, or simply [Formula: see text] gravity, the tree-level unitarity bound (tree unitarity) is violated in the UV region but an analog for [Formula: see text]-matrix unitarity [Formula: see text] is satisfied. This theory is renormalizable, and hence the failure of tree unitarity is a counter example of Llewellyn Smith’s conjecture on the relation between them. We have recently proposed a new conjecture that [Formula: see text]-matrix unitarity gives the same conditions as renormalizability. We verify that [Formula: see text]-matrix unitarity holds in the matter-graviton scattering at the tree level in the [Formula: see text] gravity, demonstrating our new conjecture.

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