A bilocal scale-invariant field theory for massive particles

1974 ◽  
Vol 21 (3) ◽  
pp. 592-610
Author(s):  
P. Roman ◽  
M. Lorente ◽  
P. L. Huddleston
Keyword(s):  
Field Theory ◽  
Scale Invariant ◽  
Massive Particles

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 ONE-LOOP CALCULATION OF COSMOLOGICAL CONSTANT IN A SCALE INVARIANT THEORY

2009 ◽  
Vol 24 (26) ◽  
pp. 2069-2079 ◽  
Author(s):  
PANKAJ JAIN ◽  
SUBHADIP MITRA
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Invariant Theory ◽  
Scale Invariance ◽  
Constant Term ◽  
Scale Invariant ◽  
Gravitational Action ◽  
The One

We compute the cosmological constant in a scale invariant scalar field theory. The gravitational action is also suitably modified to respect scale invariance. Due to scale invariance, the theory does not admit a cosmological constant term. The scale invariance is broken by a recently introduced mechanism called cosmological symmetry breaking. This leads to a nonzero cosmological constant. We compute the one-loop corrections to the cosmological constant and show that it is finite.

scholarly journals Group Field Theory Condensate Cosmology: An Appetizer

Universe ◽  
2019 ◽  
Vol 5 (6) ◽  
pp. 147 ◽  
Author(s):  
Andreas G. A. Pithis ◽  
Mairi Sakellariadou
Keyword(s):  
Field Theory ◽  
Quantum Cosmology ◽  
Building Blocks ◽  
Accelerated Expansion ◽  
Scale Invariant ◽  
Cosmological Solutions ◽  
Group Field Theory ◽  
Standing Question ◽  
Open Issues ◽  
The Continuum

This contribution is an appetizer to the relatively young and fast-evolving approach to quantum cosmology based on group field theory condensate states. We summarize the main assumptions and pillars of this approach which has revealed new perspectives on the long-standing question of how to recover the continuum from discrete geometric building blocks. Among others, we give a snapshot of recent work on isotropic cosmological solutions exhibiting an accelerated expansion, a bounce where anisotropies are shown to be under control, and inhomogeneities with an approximately scale-invariant power spectrum. Finally, we point to open issues in the condensate cosmology approach.

Sign in / Sign up

Export Citation Format

Share Document