A Note on Quantum Compactons

Abstract

Compactons are solutions of the equations of motion that behave trivially outside a compact region. In general, the operators describing quantum fluctuations above compactons have singularities. However, we show that despite these singularities the quantum theory is well defined. As an example, we calculate the one-loop mass shift of a compacton in a model described by a single real scalar field.

4 pages

References in corpus (24)

• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• Kinetically Driven Quintessence
• Heat kernel expansion: user's manual
• Kink-antikink collisions in the phi^6 model
• Global topological k-defects
• Generalized Global Defect Solutions
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• First-order framework and generalized global defect solutions
• k-defects as compactons
• Gauge k-vortices
• Solitary Waves and Compactons in a class of Generalized Korteweg-DeVries Equations
• Compacton Solutions in a Class of Generalized Fifth Order Korteweg-de Vries Equations
• Heat kernels and zeta-function regularization for the mass of the supersymmetric kink
• K fields, compactons, and thick branes
• Oscillon resonances and creation of kinks in particle collisions
• From Kinks to Compactons
• Kinks in a non-linear massive sigma model
• Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
• Creating kinks from particles
• Supersymmetric K field theories and defect structures
• One parameter family of Compacton Solutions in a class of Generalized Korteweg-DeVries Equations
• Supersymmetric extensions of k-field models
• New Results on Compact Structures

Cited by in corpus (6)

• The volume of a soliton
• Kinks and branes in models with hyperbolic interactions
• Radial vibrations of BPS skyrmions
• New class of solutions of a generalized $O(3)$-sigma Chern-Simons model
• Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
• High Temperature Effects on Compactlike Structures