TY - JOUR

T1 - Integrable generalized principal chiral models

AU - Sochen, Nir

N1 - Funding Information:
This work was supportedi n part by the Director, Office of Energy Research,O ffice of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY-90-2 1139.

PY - 1997/1/16

Y1 - 1997/1/16

N2 - We study 2D non-linear sigma models on a group manifold with a special form of the metric. We address the question of integrability for this special class of sigma models. We derive two algebraic conditions for the metric on the group manifold. Each solution of these conditions defines an integrable model. Although the algebraic system is overdetermined in general, we give two examples of solutions. We find the Lax field for these models and calculate their Poisson brackets. We also obtain the renormalization group (RG) equations, to first order, for the generic model. We solve the RG equations for the examples we have and show that they are integrable along the RG flow.

AB - We study 2D non-linear sigma models on a group manifold with a special form of the metric. We address the question of integrability for this special class of sigma models. We derive two algebraic conditions for the metric on the group manifold. Each solution of these conditions defines an integrable model. Although the algebraic system is overdetermined in general, we give two examples of solutions. We find the Lax field for these models and calculate their Poisson brackets. We also obtain the renormalization group (RG) equations, to first order, for the generic model. We solve the RG equations for the examples we have and show that they are integrable along the RG flow.

UR - http://www.scopus.com/inward/record.url?scp=0041593684&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(96)01468-2

DO - 10.1016/S0370-2693(96)01468-2

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AN - SCOPUS:0041593684

SN - 0370-2693

VL - 391

SP - 374

EP - 380

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -