Abstract
A new version of the \ensuremath{\delta} expansion is presented, which, unlike the conventional \ensuremath{\delta} expansion, can be used to do nonperturbative calculations in a self-interacting scalar quantum field theory having broken symmetry. We calculate the expectation value of the scalar field to first order in $\ensuremath{\delta}$, where $\ensuremath{\delta}$ is a measure of the degree of nonlinearity in the interaction term.
Keywords
PhysicsScalar fieldQuantum field theorySymmetry breakingScalar field theoryQuantum mechanicsScalar (mathematics)Explicit symmetry breakingField (mathematics)Spontaneous symmetry breakingSymmetry (geometry)Field theory (psychology)Mathematical physicsThermal quantum field theoryChiral symmetry breakingGlobal symmetryNonlinear systemQuantumQuantum electrodynamicsQuantum gravityMathematics
Affiliated Institutions
Related Publications
Computation of the quantum effects due to a four-dimensional pseudoparticle
A detailed quantitative calculation is carried out of the tunneling process described by the Belavin-Polyakov-Schwarz-Tyupkin field configuration. A certain chiral symmetry is v...
Interactions and excitations of non-Abelian vortices
We examine bosonic zero modes of vortices formed in the gauge breaking G\ensuremath{\rightarrow}H. For non-Abelian G, zero modes are generic. Their solutions depend on global sy...
Model of supersymmetric quantum field theory with broken parity symmetry
Recently, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form $g(i\phi)^{2+\delta}$, where $\delta$ is a real...
Dynamic Response of Inhomogeneous Fermi Systems
This paper presents a theory of the linear density response to an external time-dependent scalar potential for a Fermi system whose unperturbed density varies slowly. Simple loc...
Interactions and Excitations of Non-Abelian Vortices
We examine bosonic zero modes of vortices formed in the gauge breaking G→H. For non-Abelian G, zero modes are generic. Their solutions depend on global symmetry structure. Vorti...
Publication Info
- Year
- 1997
- Type
- article
- Volume
- 55
- Issue
- 6
- Pages
- R3255-R3259
- Citations
- 105
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
105
OpenAlex
Cite This
Carl M. Bender,
Kimball A. Milton
(1997).
Nonperturbative calculation of symmetry breaking in quantum field theory.
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
, 55
(6)
, R3255-R3259.
https://doi.org/10.1103/physrevd.55.r3255
Identifiers
- DOI
- 10.1103/physrevd.55.r3255