Vacuum Structure of Two-Dimensional $φ^4$ Theory on the Orbifold $S^{1}/Z_{2}$

Details Vacuum Structure of Two-Dimensional $φ^4$ Theory on the Orbifold $S^{1}/Z_{2}$ Vacuum Structure of Two-Dimensional $φ^4$ Theory on the Orbifold $S^{1}/Z_{2}$

2005-07-19

arxiv.org/abs/hep-th/0507179v1

Phys.Rev. D72 (2005) 065010

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 15 pages, 3 eps figures

Scientific paper

10.1103/PhysRevD.72.065010

We consider the vacuum structure of two-dimensional $\phi^4$ theory on $S^{1}/Z_{2}$ both in the bosonic and the supersymmetric cases. When the size of the orbifold is varied, a phase transition occurs at $L_{c}=2\pi/m$, where $m$ is the mass of $\phi$. For $LL_{c}$, there are two degenerate vacua. We also obtain the 1-loop quantum corrections around these vacuum solutions, exactly in the case of $LL_{c}$. As for the quantum corrections, the fermionic contributions cancel the singular part of the bosonic contributions at L=0. Then the total quantum correction has a minimum at the critical length $L_{c}$.

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