Vacuum structure of two-dimensional ϕ4 theory on the orbifold S1/Z2

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Title:	Vacuum structure of two-dimensional ϕ4 theory on the orbifold S1/Z2
Authors:	Cho, H. T.
Contributors:	淡江大學物理學系
Date:	2005-09
Issue Date:	2013-07-09 15:14:37 (UTC+8)
Publisher:	College Park: American Physical Society
Abstract:	We consider the vacuum structure of two-dimensional ϕ4 theory on S1/Z2 both in the bosonic and the supersymmetric cases. When the size of the orbifold is varied, a phase transition occurs at Lc=2π/m, where m is the mass of ϕ. For L<Lc, there is a unique vacuum, while for L>Lc, there are two degenerate vacua. We also obtain the 1-loop quantum corrections around these vacuum solutions, exactly in the case of L<Lc and perturbatively for L greater than but close to Lc. Including the fermions we find that the “chiral” zero modes around the fixed points are different for L<Lc and L>Lc. 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 Lc.
Relation:	Physical Review D (Particles, Fields, Gravitation and Cosmology) 72(6), 065010(7pages)
DOI:	10.1103/PhysRevD.72.065010
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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