Entanglement entropy in scalar field theory

Abstract Quantum field theory defined on a noncommutative space is a useful toy model of quantum gravity and is known to have several intriguing properties, such as nonlocality and UV/IR mixing. They suggest novel types of correlation among the degrees of freedom of different energy scales. In this paper, we investigate such correlations by the use of entanglement entropy in the momentum space. We explicitly evaluate the entanglement entropy of scalar field theory on a fuzzy sphere and find that it exhibits different behaviors from that on the usual continuous sphere. We argue that these differences would originate in different characteristics; non-planar contributions and matrix regularizations. It is also found that the mutual information between the low and the high momentum modes shows different scaling behaviors when the effect of a cutoff becomes important.

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Scalar field theory limits of bosonic string amplitudes

Nuclear Physics B ◽

10.1016/s0550-3213(00)00200-5 ◽

2000 ◽

Vol 579 (1-2) ◽

pp. 379-410 ◽

Cited By ~ 16

Author(s):

Alberto Frizzo ◽

Lorenzo Magnea ◽

Rodolfo Russo

Keyword(s):

Field Theory ◽

Scalar Field ◽

Bosonic String ◽

Scalar Field Theory ◽

String Amplitudes

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On causality in polymer scalar field theory

10.1063/1.3647531 ◽

2011 ◽

Cited By ~ 2

Author(s):

Angel A. García-Chung ◽

Hugo A. Morales-Técotl ◽

Luis Arturo Ureña-López ◽

Hugo Aurelio Morales-Técotl ◽

Román Linares-Romero ◽

...

Keyword(s):

Field Theory ◽

Scalar Field ◽

Scalar Field Theory

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ASYMPTOTIC FREEDOM IN A SCALAR FIELD THEORY ON THE LATTICE

Modern Physics Letters A ◽

10.1142/s0217732398002655 ◽

1998 ◽

Vol 13 (31) ◽

pp. 2495-2501 ◽

Cited By ~ 4

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.

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