A transition in the spectrum of the topological sector of $φ_2^4$ theory at strong coupling

Details A transition in the spectrum of the topological sector of $φ_2^4$ theory at strong coupling A transition in the spectrum of the topological sector of $φ_2^4$ theory at strong coupling

2005-04-11

arxiv.org/abs/hep-th/0504094v1

Phys.Rev. D71 (2005) 125012

Physics

High Energy Physics

High Energy Physics - Theory

revtex4, 14 figures

Scientific paper

10.1103/PhysRevD.71.125012

We investigate the strong coupling region of the topological sector of the two-dimensional $\phi^4$ theory. Using discrete light cone quantization (DLCQ), we extract the masses of the lowest few excitations and observe level crossings. To understand this phenomena, we evaluate the expectation value of the integral of the normal ordered $\phi^2$ operator and we extract the number density of constituents in these states. A coherent state variational calculation confirms that the number density for low-lying states above the transition coupling is dominantly that of a kink-antikink-kink state. The Fourier transform of the form factor of the lowest excitation is extracted which reveals a structure close to a kink-antikink-kink profile. Thus, we demonstrate that the structure of the lowest excitations becomes that of a kink-antikink-kink configuration at moderately strong coupling. We extract the critical coupling for the transition of the lowest state from that of a kink to a kink-antikink-kink. We interpret the transition as evidence for the onset of kink condensation which is believed to be the physical mechanism for the symmetry restoring phase transition in two-dimensional $\phi^4$ theory.

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