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Spontaneous Symmetry Breaking of φ 41 + 1 in Light-Front Field Theory
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bender, Carl M. Pinsky, Stephen S. Sande, Brett Van De |
| Copyright Year | 1992 |
| Abstract | We study spontaneous symmetry breaking in (φ 4) 1+1 using the light-front formulation of the field theory. Since the physical vacuum is always the same as the perturbative vacuum in light-front field theory the fields must develop a vacuum expectation value through the zero-mode components of the field. We solve the nonlinear operator equation for the zero-mode in the one-mode approximation. We find that spontaneous symmetry breaking occurs at λ critical = 4π 3 + √ 3 , which is consistent with the value λ critical = 54.27 obtained in the equal time theory. We calculate the value of the vacuum expectation value as a function of the coupling constant in the broken phase both numerically and analytically using the δ expansion. We find two equivalent broken phases. Finally we show that the energy levels of the system have the expected behavior within the broken phase. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/9212009v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation Arabic numeral 0 Coupling constant Energy level Expectation value (quantum mechanics) Like button Nonlinear system Numerical analysis Perturbation theory (quantum mechanics) Quantum field theory Spontaneous order Symmetry breaking Vacuum cleaner |
| Content Type | Text |
| Resource Type | Article |
