Phase Transition in Light-Front $φ^4_{1+1}$

Details Phase Transition in Light-Front $φ^4_{1+1}$ Phase Transition in Light-Front $φ^4_{1+1}$

2003-10-23

arxiv.org/abs/hep-th/0310216v1

Phys.Rev. D69 (2004) 085008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1103/PhysRevD.69.085008

We reproduce Chang's duality condition in a regularized $\phi^4_{1+1}$ theory quantized on a light front. The regularization involves higher derivatives in the Lagrangian, renders the model finite in the ultraviolet, and does not require introduction of a finite size of the system. It is demonstrated that the light-front quantization is a natural way to treat systems with higher derivatives. The phase transition is related to the presence of tachyons in the regularized theory. Prospects for computing the critical coupling in this formulation are briefly discussed.

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