# 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 $S^{1}-Z {2}$ - Download this document for free, or read online. Document in PDF available to download.

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

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 $L {c}$.

Author: **H. T. Cho**

Source: https://archive.org/