TY - JOUR

T1 - Topology and metastability in the lattice Skyrme model

AU - Schramm, Alec J.

AU - Svetitsky, Benjamin

PY - 2000/12/1

Y1 - 2000/12/1

N2 - We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of tetrahedra in the target space S3 and we make use of Coxeter's formula for the Schläfli function to implement it. This permits us to calculate the mean-square radius of a Skyrmion in the three-dimensional lattice Skyrme model, which may be viewed as a Ginzburg-Landau effective theory for the full quantum theory at finite temperature. We find that, contrary to expectations, the Skyrmion shrinks as quantum and thermal fluctuations are enhanced. We ascribe this to a large number of metastable states that become accessible as the temperature is raised.

AB - We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of tetrahedra in the target space S3 and we make use of Coxeter's formula for the Schläfli function to implement it. This permits us to calculate the mean-square radius of a Skyrmion in the three-dimensional lattice Skyrme model, which may be viewed as a Ginzburg-Landau effective theory for the full quantum theory at finite temperature. We find that, contrary to expectations, the Skyrmion shrinks as quantum and thermal fluctuations are enhanced. We ascribe this to a large number of metastable states that become accessible as the temperature is raised.

UR - http://www.scopus.com/inward/record.url?scp=16644395367&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.62.114020

DO - 10.1103/PhysRevD.62.114020

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AN - SCOPUS:16644395367

SN - 0556-2821

VL - 62

SP - 1

EP - 7

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 11

M1 - 114020

ER -