scholarly journals Scaling of entanglement in 2 + 1-dimensional scale-invariant field theories

2015 ◽  
Vol 2015 (2) ◽  
pp. P02010 ◽  
Author(s):  
Xiao Chen ◽  
Gil Young Cho ◽  
Thomas Faulkner ◽  
Eduardo Fradkin
Keyword(s):  
Field Theories ◽  
Scale Invariant

Derivative expansions for affinely quantized field theories. II. Scale-invariant quantization

1992 ◽  
Vol 45 (12) ◽  
pp. 4600-4609
Author(s):  
R. J. Rivers ◽  
C. C. Wong ◽  
Carl M. Bender
Keyword(s):  
Field Theories ◽  
Scale Invariant ◽  
Quantized Field

scholarly journals GRAVITY DUAL FOR REGGEON FIELD THEORY AND NONLINEAR QUANTUM FINANCE

2009 ◽  
Vol 24 (32) ◽  
pp. 6197-6222 ◽  
Author(s):  
YU NAKAYAMA
Keyword(s):  
Field Theory ◽  
Conformal Invariance ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Invariant ◽  
Galilean Invariance ◽  
Scale Invariant ◽  
Conformal Field ◽  
Nonlinear Quantum ◽  
Reggeon Field Theory

We study scale invariant but not necessarily conformal invariant deformations of nonrelativistic conformal field theories from the dual gravity viewpoint. We present the corresponding metric that solves the Einstein equation coupled with a massive vector field. We find that, within the class of metric we study, when we assume the Galilean invariance, the scale invariant deformation always preserves the nonrelativistic conformal invariance. We discuss applications to scaling regime of Reggeon field theory and nonlinear quantum finance. These theories possess scale invariance but may or may not break the conformal invariance, depending on the underlying symmetry assumptions.

scholarly journals COMMENTS ON SCALE INVARIANT BUT NONCONFORMAL SUPERSYMMETRIC FIELD THEORIES

2012 ◽  
Vol 27 (22) ◽  
pp. 1250122 ◽  
Author(s):  
YU NAKAYAMA
Keyword(s):  
Renormalization Group ◽  
Gradient Flow ◽  
Field Theories ◽  
Loop Order ◽  
Scale Invariant ◽  
Perturbative Approach ◽  
Supersymmetric Field Theories

We investigate a possibility of scale invariant but nonconformal supersymmetric field theories from a perturbative approach. The explicit existence of monotonically decreasing a-function that generates beta-functions as a gradient flow provides a strong obstruction for such a possibility at two-loop order. We comment on the "discovery" of scale invariant but nonconformal renormalization group trajectories via a "change of scheme" in (4-ϵ) dimension proposed in literatures.

scholarly journals Supersymmetric space-time symmetry breaking sources

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Louise Anderson ◽  
Matthew M. Roberts
Keyword(s):  
Symmetry Breaking ◽  
Space Time ◽  
Field Theories ◽  
Scale Invariant ◽  
Superconformal Symmetry ◽  
Time Symmetry ◽  
Supersymmetric Field Theories

Abstract We construct new families of deformed supersymmetric field theories which break space-time symmetries but preserve half of the original supersymmetry. We do this by writing deformations as couplings to background multiplets. In many cases it is important to use the off-shell representation as auxiliary fields of the non-dynamical fields must be turned on to preserve supersymmetry. We also consider backgrounds which preserve some superconformal symmetry, finding scale-invariant field profiles, as well as $$ \mathcal{N} $$ N = 2 theories on S3. We discuss how this is related to previous work on interface SCFTs and other holographic calculations.

Localizability in κ-Minkowski spacetime

2020 ◽  
Vol 17 (supp01) ◽  
pp. 2040010
Author(s):  
Fedele Lizzi ◽  
Mattia Manfredonia ◽  
Flavio Mercati
Keyword(s):  
Quantum Mechanics ◽  
Fourier Transforms ◽  
Minkowski Spacetime ◽  
Field Theories ◽  
Quantum Space ◽  
Scale Invariant ◽  
Mellin Transforms ◽  
Adjoint Operators ◽  
Ordinary Quantum

Using the methods of ordinary quantum mechanics, we study [Formula: see text]-Minkowski space as a quantum space described by noncommuting self-adjoint operators, following and enlarging T. Poulain and J.-C. Wallet, “[Formula: see text]-Poincaré invariant orientable field theories with at 1-loop: Scale-invariant couplings, preprint (2018), arXiv:1808.00350 [hep-th]. We see how the role of Fourier transforms is played in this case by Mellin transforms. We briefly discuss the role of transformations and observers.

scholarly journals GRAVITY DUAL FOR CYCLIC RENORMALIZATION GROUP FLOW WITHOUT CONFORMAL INVARIANCE

2011 ◽  
Vol 26 (33) ◽  
pp. 2469-2476 ◽  
Author(s):  
YU NAKAYAMA
Keyword(s):  
Renormalization Group ◽  
Energy Condition ◽  
Slight Modification ◽  
Gravitational Theory ◽  
Null Energy Condition ◽  
Field Theories ◽  
Renormalization Group Flow ◽  
Scale Invariant ◽  
Conformal Field ◽  
Group Flow

We construct a gravity dual for scale invariant but non-conformal field theories with a cyclic renormalization group flow. A slight modification of our construction gives a gravity dual of discretely scale invariant field theories. The underlying gravitational theory breaks the null energy condition.

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