scholarly journals OSCILLONS IN SCALAR FIELD THEORIES: APPLICATIONS IN HIGHER DIMENSIONS AND INFLATION

2007 ◽  
Vol 16 (02n03) ◽  
pp. 219-229 ◽  
Author(s):  
MARCELO GLEISER
Keyword(s):  
Scalar Field ◽  
Higher Dimensions ◽  
Bubble Nucleation ◽  
Field Theories ◽  
Vacuum Decay ◽  
Vacuum States ◽  
Cosmological Inflation ◽  
Dimensionality Of Space ◽  
Dynamics Of Phase Transitions ◽  
Lived Time

The basic properties of oscillons — localized, long-lived, time-dependent scalar field configurations — are briefly reviewed, including recent results demonstrating how their existence depends on the dimensionality of space–time. Their role on the dynamics of phase transitions is discussed, and it is shown that oscillons may greatly accelerate the decay of metastable vacuum states. This mechanism for vacuum decay — resonant nucleation — is then applied to cosmological inflation. A new inflationary model is proposed which terminates with fast bubble nucleation.

THE FATE OF THE FALSE VACUUM IN EINSTEIN GRAVITY THEORY WITH NONMINIMALLY-COUPLED SCALAR FIELD

2005 ◽  
Vol 14 (06) ◽  
pp. 1063-1073 ◽  
Author(s):  
WONWOO LEE ◽  
CHUL H. LEE
Keyword(s):  
Scalar Field ◽  
Einstein Gravity ◽  
Bubble Nucleation ◽  
Decay Rates ◽  
Thin Wall ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Standard Result ◽  
True Vacuum ◽  
Theories Of Gravity

The decay of false vacuum via the true vacuum bubble nucleation has been explored in Einstein theories of gravity with nonminimally-coupled scalar field using Coleman–De Luccia's semiclassical instanton approximation. In this case the false vacuum decay rates and the radius of the bubbles in Coleman's thin-wall approximation have been computed analytically and numerically with several values of nonminimal coupling constant and compared with the standard result obtained by Coleman–De Luccia in the context of scalar field minimally-coupled to Einstein gravity.

scholarly journals Bubble evolution around heterogeneities in ϕ4-field theories

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Juan F. Marín
Keyword(s):  
Dynamical Behaviour ◽  
Bubble Nucleation ◽  
Field Theories ◽  
Vacuum Decay ◽  
Oscillating Bubbles ◽  
Nucleation Sites ◽  
Exactly Solvable ◽  
Theoretical Predictions ◽  
Bubble Evolution ◽  
Good Agreement

Abstract Localised heterogeneities have been recently discovered to act as bubble-nucleation sites in nonlinear field theories. Vacuum decay seeded by black holes is one of the most remarkable applications. This article proposes a simple and exactly solvable ϕ4 model to study bubble evolution about a localised heterogeneity. Bubbles with a rich dynamical behaviour are observed depending on the topological properties of the heterogeneity. The linear stability analysis of soliton-bubbles predicts oscillating bubbles and the insertion of new bubbles inside an expanding precursor bubble. Numerical simulations in 2+1 dimensions are in good agreement with theoretical predictions.

scholarly journals Constructing Carrollian CFTs

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nishant Gupta ◽  
Nemani V. Suryanarayana
Keyword(s):  
Scalar Fields ◽  
Higher Dimensions ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Relativistic Limit ◽  
Conformal Field ◽  
Local Symmetries ◽  
Derivatives Of ◽  
Special Case

Abstract We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear. A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided. We show that only a special case of our theories arises in the ultra-relativistic limit of a covariant parent theory.

scholarly journals Monte Carlo and renormalization-group effective potentials in scalar field theories

1995 ◽  
Vol 51 (12) ◽  
pp. 7017-7025 ◽  
Author(s):  
J. R. Shepard ◽  
V. Dmitrašinović ◽  
J. A. McNeil
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Scalar Field ◽  
Field Theories ◽  
Effective Potentials

scholarly journals Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
José Velhinho
Keyword(s):  
Scalar Field ◽  
Canonical Quantization ◽  
Field Theories ◽  
Quantum Fields ◽  
Theoretical Methods ◽  
Local Properties ◽  
Free Scalar ◽  
Free Fields ◽  
Field Behaviour

This review is devoted to measure theoretical methods in the canonical quantization of scalar field theories. We present in some detail the canonical quantization of the free scalar field. We study the measures associated with the free fields and present two characterizations of the support of these measures. The first characterization concerns local properties of the quantum fields, whereas for the second one we introduce a sequence of variables that test the field behaviour at large distances, thus allowing distinguishing between the typical quantum fields associated with different values of the mass.

scholarly journals Extended multi-scalar field theories in $$(1+1)$$ dimensions

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
A. R. Aguirre ◽  
E. S. Souza
Keyword(s):  
Scalar Field ◽  
Linear Stability ◽  
Explicit Construction ◽  
Field Theories ◽  
Extension Method ◽  
Stability Properties ◽  
Field Systems

AbstractWe present the explicit construction of some multi-scalar field theories in $$(1+1$$ ( 1 + 1 ) dimensions supporting BPS (Bogomol’nyi–Prasad–Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scalar and three-scalar field theories are explicitly constructed from non-trivial couplings between well-known one-scalar field theories. The BPS solutions of the original one-field systems will be also BPS solutions of the multi-scalar system by construction, and therefore we will analyse their linear stability properties for the constructed models.

scholarly journals Simulation of Scalar Field Theories with Complex Actions

2019 ◽  
Author(s):  
Michael Ogilvie ◽  
Leandro Medina
Keyword(s):  
Scalar Field ◽  
Field Theories
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