scholarly journals Erratum to: Hints of unitarity at large N in the O(N)3 tensor field theory

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Dario Benedetti ◽  
Razvan Gurau ◽  
Sabine Harribey ◽  
Kenta Suzuki
Keyword(s):  
Field Theory ◽  
Tensor Field ◽  
Normalization Factor ◽  
Large N

The measure in equation (2.11) contains a wrong normalization factor, and it should be multiplied by 21−dΓ(d − 1)/Γ(d/2)2.

scholarly journals Hints of unitarity at large N in the O(N )3 tensor field theory

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Dario Benedetti ◽  
Razvan Gurau ◽  
Sabine Harribey ◽  
Kenta Suzuki
Keyword(s):  
Field Theory ◽  
Tensor Field ◽  
Large N

Mean-field theory for quenched reduced large-N gauge model

1983 ◽  
Vol 225 (4) ◽  
pp. 505-522 ◽  
Author(s):  
Hiroshi Hasegawa ◽  
Sung-Kil Yang
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Gauge Model ◽  
Large N

scholarly journals ASYMPTOTIC FREEDOM IN A SCALAR FIELD THEORY ON THE LATTICE

1998 ◽  
Vol 13 (31) ◽  
pp. 2495-2501 ◽  
Author(s):  
KURT LANGFELD ◽  
HUGO REINHARDT
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Particle ◽  
Higgs Sector ◽  
Asymptotic Freedom ◽  
Scalar Field Theory ◽  
Large N ◽  
The Standard Model ◽  
Conceptual Problems ◽  
The Continuum

A scalar field theory in four space–time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems of standard ϕ4-theory. We propose an N-component, O(N)-symmetric scalar field theory, which is originally defined on the lattice. The scalar lattice model is analytically solved in the large-N limit. The continuum limit is approached via an asymptotically free scaling. The renormalized theory evades triviality, and furthermore gives rise to a dynamically formed mass of the scalar particle. The model might serve as an alternative to the Higgs sector of the standard model, where the quantum level of the standard ϕ4-theory contradicts phenomenology due to triviality.

scholarly journals Addendum to: A Renormalizable 4-Dimensional Tensor Field Theory

2013 ◽  
Vol 322 (3) ◽  
pp. 957-965 ◽  
Author(s):  
Joseph Ben Geloun ◽  
Vincent Rivasseau
Keyword(s):  
Field Theory ◽  
Tensor Field

scholarly journals Large N WZW field theory of N=2 strings

1998 ◽  
Vol 416 (3-4) ◽  
pp. 334-340 ◽  
Author(s):  
Antal Jevicki ◽  
Mihail Mihailescu ◽  
João P. Nunes
Keyword(s):  
Field Theory ◽  
Large N

scholarly journals TOWARD A CONFORMAL FIELD THEORY FOR THE QUANTUM HALL EFFECT

1992 ◽  
Vol 06 (19) ◽  
pp. 3235-3247
Author(s):  
GREG NAGAO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Order Parameter ◽  
Quantum Hall ◽  
Cyclotron Motion ◽  
Conformal Field ◽  
Large N ◽  
Collective Coordinate

An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a "current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large N limit. An order parameter is constructed from which the Hamiltonian may be derived. This order parameter may be viewed as either a collective coordinate for a system of N charged particles in a strong magnetic field; or as a field of spins associated with the cyclotron motion of these particles.

scholarly journals A Yang–Mills Theory in Loop Space and Chapline–Manton Coupling

1997 ◽  
Vol 12 (02) ◽  
pp. 111-119 ◽  
Author(s):  
Shinichi Deguchi ◽  
Tadahito Nakajima
Keyword(s):  
Field Theory ◽  
Local Field ◽  
Loop Space ◽  
Tensor Field ◽  
Symmetric Tensor ◽  
Tensor Fields ◽  
Yang Mills ◽  
Local Field Theory ◽  
Antisymmetric Tensor Field ◽  
Chern Simons

We consider a Yang–Mills theory in loop space with the affine gauge group. From this theory, we derive a local field theory with Yang–Mills fields and Abelian antisymmetric and symmetric tensor fields of the second rank. The Chapline–Manton coupling, i.e. coupling of Yang–Mills fields and a second-rank antisymmetric tensor field via the Chern–Simons three-form is obtained systematically.

Dark R2 at low energy

2018 ◽  
Vol 33 (34) ◽  
pp. 1845006 ◽  
Author(s):  
Philippe Brax ◽  
Patrick Valageas ◽  
Pierre Vanhove
Keyword(s):  
Field Theory ◽  
Extra Dimensions ◽  
Short Distance ◽  
Tensor Field ◽  
High Energy ◽  
Low Energy ◽  
Breathing Mode ◽  
Dimensional Models ◽  
Tests Of Gravity ◽  
Hilbert Action

We consider the consequences of the leading quartic corrections to the Einstein–Hilbert action of gravity at low energy. Using the equivalence between the scalar [Formula: see text] contribution and a scalar-tensor field theory, we analyze the possible ways of detecting the associated scalaron and suggest that short distance tests of gravity, and in particular future tests of Newton’s law aboard satellites, would provide the best environment to detect such a modification of gravity. We also analyze the regimes for which the [Formula: see text] theory would result as a low energy manifestation of putative high energy UV completions involving extra dimensions. In the four-dimensional [Formula: see text] supergravity limit of such extra-dimensional models, the [Formula: see text] models would emerge from the stabilization of a nearly no-scale superfield such as the ones associated to the Kähler modulus corresponding to the breathing mode of a six-dimensional compactification.

Sign in / Sign up

Export Citation Format

Share Document