Matter fields in the Lagrangian loop representation: Scalar QED

J. M. Aroca, M. Baig, H. Fort, R. Siri

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5 Citations (Scopus)

Abstract

We present the extension of the Lagrangian loop gauge invariant representation in such a way as to include matter fields. The partition function of lattice compact U(1)-Higgs model is expressed as a sum over closed as much as open surfaces. These surfaces correspond to world sheets of loop-like pure electric flux excitations and open electric flux tubes carrying matter fields at their ends. This representation is connected by a duality transformation with the topological representation of the partition function (in terms of world sheets of Nielsen-Olesen strings both closed and open connecting pairs of magnetic monopoles). We have simulated numerically the loop action equivalent to the Villain form of the action and mapped out the β-γ phase diagram of this model. By virtue of the gauge invariance of this description the equilibrium configurations seems to be reached faster than with the ordinary gauge-variant descriptions.
Original languageEnglish
Pages (from-to)416-420
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume366
Issue number1-4
DOIs
Publication statusPublished - 11 Jan 1996

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