Numerical Approach to Multi Dimensional Phase Transitions

Abstract

We present an algorithm to analyze numerically the bounce solution of first-order phase transitions. Our approach is well suited to treat phase transitions with several fields. The algorithm consists of two parts. In the first part the bounce solution without damping is determined, in which case energy is conserved. In the second part the continuation to the physically relevant case with damping is performed. The presented approach is numerically stable and easily implemented.

18 pages, 8 figures; some comments, a reference and a table added

References in corpus (21)

• Electroweak Baryogenesis and Dark Matter in the nMSSM
• Electroweak Phase Transition in Two Higgs Doublet Models
• Does LEP prefer the NMSSM?
• Improved Results in Supersymmetric Electroweak Baryogenesis
• The MSSM Electroweak Phase Transition on the Lattice
• Supersymmetric CP-violating Currents and Electroweak Baryogenesis
• Dynamics of Two Higgs Doublet CP Violation and Baryogenesis at the Electroweak Phase Transition
• Electroweak Baryogenesis: Concrete in a SUSY Model with a Gauge Singlet
• Electroweak Phase Transition and Baryogenesis in the nMSSM
• MSSM Electroweak Baryogenesis and Flavour Mixing in Transport Equations
• Bubbles in the supersymmetric standard model
• Electroweak Baryogenesis in a Supersymmetric U(1)' Model
• Electroweak Baryogenesis in the Next to Minimal Supersymmetric Model
• Beyond the thin-wall approximation : precise numerical computation of prefactors in false vacuum decay
• A Strong Electroweak Phase Transition up to m_H ~ 105 GeV
• Was the Electroweak Phase Transition Preceded by a Color-Broken Phase?
• One-loop corrections to the metastable vacuum decay
• Bubble Wall Profiles With More Than One Scalar Field: A Numerical Approach
• Improved Action Method for Analysing Tunneling in Quantum Field Theory
• The Region of Validity of Homogeneous Nucleation Theory
• Tunneling in quantum field theory with spontaneous symmetry breaking

Cited by in corpus (45)

• CosmoTransitions: Computing Cosmological Phase Transition Temperatures and Bubble Profiles with Multiple Fields
• Baryogenesis in the Two-Higgs Doublet Model
• A Second Higgs Doublet in the Early Universe: Baryogenesis and Gravitational Waves
• The Gravitational-Wave Physics
• Quantum Transport and Electroweak Baryogenesis
• Electroweak Phase Transition and Baryogenesis in the nMSSM
• Production of Gravitational Waves in the nMSSM
• Solving differential equations with neural networks: Applications to the calculation of cosmological phase transitions
• Strong electroweak phase transitions without collider traces
• Detection of Early-Universe Gravitational Wave Signatures and Fundamental Physics
• Singlet Scalar Dark Matter: monochromatic gamma rays and metastable vacua
• FindBounce: package for multi-field bounce actions
• Efficient numerical solution to vacuum decay with many fields
• Vacuum Stability and the MSSM Higgs Mass
• Charge-breaking constraints on left-right mixing of stau's
• Effective field theory approach to thermal bubble nucleation
• BubbleProfiler: finding the field profile and action for cosmological phase transitions
• Impact of Vacuum Stability Constraints on the Phenomenology of Supersymmetric Models
• Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory
• A Fresh Look at the Calculation of Tunneling Actions in Multi-Field Potentials
• Semi-analytic techniques for calculating bubble wall profiles
• Multifield Polygonal Bounces
• Field dynamics and tunneling in a flux landscape
• Supersonic Electroweak Baryogenesis: Achieving Baryogenesis for Fast Bubble Walls
• Metastability bounds on flavour-violating trilinear soft terms in the MSSM
• Strongly First-Order Electroweak Phase Transition and Classical Scale Invariance
• Dark energy parameterizations and their effect on dark halos
• Analyzing Multi-Field Tunneling With Exact Bounce Solutions
• Simple Gradient Flow Equation for the Bounce Solution
• Constrained potential method for false vacuum decays
• Upperbound on Squark Masses in Gauge-Mediation Model with Light Gravitino
• Resurrecting the minimal renormalizable supersymmetric SU(5) model
• A Hybrid Higgs
• Exact one-loop false vacuum decay rate
• Lower Bound for the Multi-Field Bounce Action
• Mapping the shape of the scalar potential with gravitational waves
• Vacuum Stability with Tachyonic Boundary Higgs Masses in No-Scale Supersymmetry or Gaugino Mediation
• Optimisation based algorithm for finding the action of cosmological phase transitions
• An exact solution of the Dirac equation with CP violation
• Stability of Metastable Vacua in Gauge Mediated SUSY Breaking Models with Ultra Light Gravitino
• Modifying dark matter indirect detection signals by thermal effects at freeze-out
• Towards TeV-Scale Supersymmetric Electroweak Baryogenesis
• $Z_3$ meta-stable states in PNJL model
• Decays of metastable vacua in SQCD
• Hybrid Inflation Exit through Tunneling