scholarly journals ON THE ONE-LOOP CORRECTION OF φ4 THEORY IN HIGHER DIMENSIONS

2007 ◽  
Vol 22 (29) ◽  
pp. 5369-5377 ◽  
Author(s):  
RIZWAN UL HAQ ANSARI ◽  
P. K. SURESH
Keyword(s):  
Phase Transitions ◽  
Critical Temperature ◽  
Scalar Field ◽  
Effective Potential ◽  
Higher Dimensions ◽  
Temperature Dependent ◽  
Loop Correction ◽  
Five Dimensions ◽  
Fundamental Scale ◽  
The One

We consider in this paper φ4 theory in higher dimensions. Using functional diagrammatic approach, we compute the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that φ4 theory can be regularized in five dimensions. Temperature dependent one-loop correction and critical temperature βc are computed and βc depends on the fundamental scale [Formula: see text] of the theory. A brief discussion of symmetry restoration is also presented. The nature of phase transitions is examined and is of second order.

PHASE TRANSITIONS IN HIGHER DIMENSIONAL COSMOLOGY

2010 ◽  
Vol 25 (01) ◽  
pp. 113-122
Author(s):  
RIZWAN UL HAQ ANSARI ◽  
P. K. SURESH
Keyword(s):  
Phase Transitions ◽  
Early Universe ◽  
Higher Dimensions ◽  
Temperature Dependent ◽  
Loop Correction ◽  
Massive Scalar Field ◽  
Five Dimensions ◽  
Higher Dimensional Cosmology ◽  
Higher Dimensional ◽  
The One

We have considered five-dimensional massive scalar field coupled to gravity and evaluated the one-loop effective potential in higher dimensions. It is demonstrated that nonminimally coupled φ4 theory can be regularized in five dimensions. Temperature dependent one-loop correction and critical temperature βc are computed. The phase transitions in the early universe depend on the space–time curvature R and scalar gravitational coupling ξ. A brief discussion of symmetry restoration is also presented and the nature of phase transitions in the early universe is found to be of second order.

Natural brane-confinement from massive Z 2-spontaneously broken Kaluza-Klein excitations in the bulk

Open Physics ◽  
2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Marina Dariescu ◽  
Ciprian Dariescu ◽  
Carlos Romero
Keyword(s):  
Scalar Field ◽  
Effective Potential ◽  
Gordon Equation ◽  
Back Reaction ◽  
Scale Function ◽  
Five Dimensions ◽  
Real Scalar ◽  
The One ◽  
Warp Function ◽  
Kaluza Klein

AbstractFor a real scalar field minimally coupled to bulk gravity, in five dimensions, we analytically solve the Gordon equation, near one of the degenerated vacua of an effective potential with a spontaneously broken Z 2-symmetry. Dealing with the back-reaction from the excited massive modes on the whole scale function, we are pointing out that the lighter excitations of the scalar in the bulk turn more and more the warp function into the one of a partition on the confined brane.

scholarly journals SELF-INTERACTING SCALAR FIELDS ON SPACE-TIME WITH COMPACT HYPERBOLIC SPATIAL PART

1993 ◽  
Vol 08 (21) ◽  
pp. 2011-2021 ◽  
Author(s):  
ANDREI BYTSENKO ◽  
KLAUS KIRSTEN ◽  
SERGEI ODINTSOV
Keyword(s):  
Phase Transitions ◽  
Scalar Field ◽  
Effective Potential ◽  
Discrete Group ◽  
Scalar Fields ◽  
Space Time ◽  
Selberg Trace Formula ◽  
Effective Potentials ◽  
Spatial Part ◽  
The One

We calculate the one-loop effective potential of a self-interacting scalar field on the space-time of the form ℝ2×H2/Γ. The Selberg trace formula associated with a co-compact discrete group Γ in PSL(2, ℝ) (hyperbolic and elliptic elements only) is used. The closed form for the one-loop unrenormalized and renormalized effective potentials is given. The influence of non-trivial topology on curvature induced phase transitions is also discussed.

ASYMPTOTIC QUASINORMAL MODES IN EINSTEIN–GAUSS–BONNET GRAVITY

2011 ◽  
Vol 26 (16) ◽  
pp. 2783-2794 ◽  
Author(s):  
J. SADEGHI ◽  
A. BANIJAMALI ◽  
M. R. SETARE ◽  
H. VAEZ
Keyword(s):  
Scalar Field ◽  
Effective Potential ◽  
Quasinormal Modes ◽  
Space Time ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Momentum Vector ◽  
Five Dimensions ◽  
Bonnet Gravity ◽  
Temperature Scalar

In this paper we consider a massive scalar field on the boundary of AdS space–time and calculate the quasinormal modes for the string inspired Einstein–Gauss–Bonnet gravity in five dimensions. We study the effects of Gauss–Bonnet parameter, temperature, scalar field's mass and momentum vector on the effective potential and quasinormal modes.

scholarly journals The renormalization group and the effective action

2011 ◽  
Vol 89 (3) ◽  
pp. 277-280 ◽  
Author(s):  
D. G.C. McKeon
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Gauge Field ◽  
Effective Potential ◽  
Effective Action ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
The One ◽  
External Gauge

The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function β, the next-to-leading-log (NLL) contributions in terms of the two-loop RG function, etc. The log-independent pieces are not determined by the RG equation, but can be fixed by considering the anomaly in the trace of the energy-momentum tensor. Similar considerations can be applied to the effective potential V for a scalar field [Formula: see text]; here the log-independent pieces are fixed by the condition [Formula: see text].

scholarly journals PHASE TRANSITIONS FOR A ϕ6 MODEL IN (2+1)-DIMENSIONAL CURVED SPACETIME

2003 ◽  
Vol 18 (13) ◽  
pp. 937-946 ◽  
Author(s):  
MINU JOY ◽  
V. C. KURIAKOSE
Keyword(s):  
Phase Transitions ◽  
Effective Potential ◽  
Momentum Tensor ◽  
Type I ◽  
Curved Spacetime ◽  
First Order ◽  
Spacetime Curvature ◽  
First Order Phase Transition ◽  
The One ◽  
First Order Phase

Considering a massive ϕ6 self-interacting scalar field coupled arbitrarily to a (2+1)-dimensional Bianchi type-I spacetime, we evaluate the one-loop effective potential. It is found that ϕ6 potential can be regularized in (2+1)-dimensional curved spacetime. A finite expression for the energy–momentum tensor is obtained for this model. Evaluating the finite temperature effective potential, the temperature dependence of phase transitions is studied. The crucial dependence of the phase transitions on the spacetime curvature and on the coupling to gravity is also studied. The nature of phase transitions for the present model is clarified to be first order. A first-order phase transition proceeds by nucleation of bubbles of broken phase in the background of unbroken phase.

scholarly journals Non-equilibrium dynamics of a scalar field with quantum backreaction

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Kimmo Kainulainen ◽  
Olli Koskivaara
Keyword(s):  
Scalar Field ◽  
Effective Potential ◽  
Finite Temperature ◽  
Equations Of Motion ◽  
Dynamical Evolution ◽  
Physical Parameters ◽  
Equilibrium System ◽  
The One ◽  
Spinodal Instability ◽  
Non Equilibrium

Abstract We study the dynamical evolution of coupled one- and two-point functions of a scalar field in the 2PI framework at the Hartree approximation, including backreaction from out-of-equilibrium modes. We renormalize the 2PI equations of motion in an on-shell scheme in terms of physical parameters. We present the Hartree-resummed renormalized effective potential at finite temperature and critically discuss the role of the effective potential in a non-equilibrium system. We follow the decay and thermalization of a scalar field from an initial cold state with all energy stored in the potential, into a fully thermalized system with a finite temperature. We identify the non-perturbative processes of parametric resonance and spinodal instability taking place during the reheating stage. In particular we study the unstable modes in the region where the vacuum 1PI effective action becomes complex and show that such spinodal modes can have a dramatic effect on the evolution of the one-point function. Our methods can be easily adapted to simulate reheating at the end of inflation.

THE TEMPERATURE-DEPENDENT VAPORIZATION ENTHALPY IN EQUILIBRIUM VAPOR–LIQUID PHASE TRANSITIONS: ITS UNIVERSAL BEHAVIOR FOR SIMPLE FLUIDS

2009 ◽  
Vol 23 (10) ◽  
pp. 1333-1344 ◽  
Author(s):  
JIANXIANG TIAN
Keyword(s):  
Phase Transitions ◽  
Critical Temperature ◽  
Liquid Phase ◽  
Reference Data ◽  
Vaporization Enthalpy ◽  
Temperature Dependent ◽  
Simple Fluids ◽  
Universal Behavior ◽  
Critical Data ◽  
Vapor Liquid

In this paper, we study the universal behavior of the temperature-dependent vaporization enthalpy in equilibrium vapor–liquid phase transitions of simple fluids. We find that, under some reduction using critical data, the experimental curves of vaporization enthalpy versus the saturated temperature will overlap with each other, i.e. the universal behavior experimentally holds for the temperature-dependent vaporization enthalpy, in the temperature range from the triple point to the critical point, for simple fluids. An empirical correlation describing this universal behavior is proposed and compared with reference data and other correlations. Different from others, our correlation only needs the critical temperature as input parameters.

scholarly journals EFFECTIVE POTENTIAL FOR LIFSHITZ-TYPE z = 3 GAUGE THEORIES

2012 ◽  
Vol 27 (29) ◽  
pp. 1250168 ◽  
Author(s):  
K. FARAKOS
Keyword(s):  
Scalar Field ◽  
Symmetry Breaking ◽  
Effective Potential ◽  
Local Minimum ◽  
Relative Strength ◽  
Coupling Constants ◽  
Time Scaling ◽  
Symmetry Breaking Term ◽  
The One ◽  
Nonzero Scalar

We consider the one-loop effective potential at zero temperature in Lifshitz-type field theories with anisotropic space–time scaling, with critical exponent z = 3, including scalar, fermion and gauge fields. The fermion determinant generates a symmetry breaking term at one loop in the effective potential and a local minimum appears, for nonzero scalar field, for every value of the Yukawa coupling. Depending on the relative strength of the coupling constants for the scalar and the gauge field, we find a second symmetry breaking local minimum in the effective potential for a bigger value of the scalar field.

Sign in / Sign up

Export Citation Format

Share Document