scholarly journals Nonlinearly realized conformal invariance in scale invariant field theories

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
Takemichi Okui
Keyword(s):  
Conformal Invariance ◽  
Field Theories ◽  
Scale Invariant

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 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 Hidden conformal invariance of scalar effective field theories

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Clifford Cheung ◽  
James Mangan ◽  
Chia-Hsien Shen
Keyword(s):  
Effective Field Theories ◽  
Conformal Invariance ◽  
Effective Field ◽  
Field Theories

scholarly journals ALTERNATIVE CONFORMAL QUANTUM MECHANICS

2011 ◽  
Vol 26 (16) ◽  
pp. 2735-2742 ◽  
Author(s):  
S.-H. HO
Keyword(s):  
Quantum Mechanics ◽  
Conformal Invariance ◽  
Invariant Theory ◽  
Mechanical Model ◽  
Conformal Transformation ◽  
Quantum Mechanical ◽  
Scale Invariant ◽  
One Dimensional ◽  
Quantum Mechanical Model ◽  
Conformal Quantum Mechanics

We investigate a one-dimensional quantum mechanical model, which is invariant under translations and dilations but does not respect the conventional conformal invariance. We describe the possibility of modifying the conventional conformal transformation such that a scale invariant theory is also invariant under this new conformal transformation.

scholarly journals ON ϵ-CONJECTURE IN a-THEOREM

2012 ◽  
Vol 27 (05) ◽  
pp. 1250029 ◽  
Author(s):  
YU NAKAYAMA
Keyword(s):  
Strong Evidence ◽  
Conformal Invariance ◽  
Scale Invariance ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Complete Proof ◽  
Four Dimensions

The derivation of the a-theorem recently proposed by Komargodski and Schwimmer relies on the ϵ-conjecture that demands decoupling of dilaton from the rest of the infrared theory. We point out that the decoupling, if true, provides a strong evidence for the equivalence between scale invariance and conformal invariance in four dimensions. Thus, a complete proof of the a-theorem along the line of their argument in the most generic scenario would establish the equivalence between scale invariance and conformal invariance, which is another long-standing conjecture in four-dimensional quantum field theories.

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.

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