COSMOLOGY IN NONLINEAR BORN–INFELD SCALAR FIELD THEORY WITH NEGATIVE POTENTIALS

The cosmological evolution in Nonlinear Born–Infeld (hereafter NLBI) scalar field theory with negative potentials was investigated. The cosmological solutions in some important evolutive epoches were obtained. The different evolutional behaviors between NLBI and linear (canonical) scalar field theory have been presented. A notable characteristic is that NLBI scalar field behaves as ordinary matter nearly the singularity while the linear scalar field behaves as "stiff" matter. We find that in order to accommodate current observational accelerating expanding universe the value of potential parameters |m| and |V0| must have an upper bound. We compare different cosmological evolutions for different potential parameters m, V0.

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Klein–Gordon field from the XXZ Heisenberg model

International Journal of Modern Physics D ◽

10.1142/s0218271819500202 ◽

2019 ◽

Vol 28 (01) ◽

pp. 1950020 ◽

Cited By ~ 2

Author(s):

Jakub Bilski ◽

Suddhasattwa Brahma ◽

Antonino Marcianò ◽

Jakub Mielczarek

Keyword(s):

Field Theory ◽

Scalar Field ◽

Heisenberg Model ◽

Anisotropy Parameter ◽

Scalar Fields ◽

Scalar Field Theory ◽

Interaction Terms ◽

Klein Gordon ◽

Xxz Heisenberg Model ◽

Linear Scalar

We examine the recently introduced idea of Spin-Field Correspondence (SFC) focusing on the example of the spin system described by the XXZ Heisenberg model with external magnetic field. The Hamiltonian of the resulting nonlinear scalar field theory is derived for arbitrary value of the anisotropy parameter [Formula: see text]. We show that the linear scalar field theory is reconstructed in the large spin limit. For [Formula: see text], a nonrelativistic scalar field theory satisfying the Born reciprocity principle is recovered. As expected, for the vanishing anisotropy parameter [Formula: see text], the standard relativistic Klein–Gordon field is obtained. Various aspects of the obtained class of the scalar fields are studied, including the fate of the relativistic symmetries and the properties of the emerging interaction terms. We show that, in a certain limit, the so-called polymer quantization of the field variables is recovered. This and other discussed properties suggest a possible relevance of the considered framework in the context of quantum gravity.

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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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