TY - JOUR

T1 - Complete analyticity of the 2D Potts model above the critical temperature

AU - Van Enter, Aernout C.D.

AU - Fernández, Roberto

AU - Schonmann, Roberto H.

AU - Shlosman, Senya B.

PY - 1997

Y1 - 1997

N2 - We investigate the complete analyticity (CA) of the two-dimensional q-state Potts model for large values of q. We are able to prove it for every temperature T > TCT(q), provided we restrict ourselves to nice subsets, their niceness depending on the temperature T. Contrary to this restricted complete analyticity (RCA), the full CA is known to fail for some values of the temperature above TCT(q). Our proof is based on Pirogov-Sinai theory and cluster expansions for the Fortuin-Kasteleyn representation, which are available for the Potts model at all temperatures, provided q is large enough.

AB - We investigate the complete analyticity (CA) of the two-dimensional q-state Potts model for large values of q. We are able to prove it for every temperature T > TCT(q), provided we restrict ourselves to nice subsets, their niceness depending on the temperature T. Contrary to this restricted complete analyticity (RCA), the full CA is known to fail for some values of the temperature above TCT(q). Our proof is based on Pirogov-Sinai theory and cluster expansions for the Fortuin-Kasteleyn representation, which are available for the Potts model at all temperatures, provided q is large enough.

UR - http://www.scopus.com/inward/record.url?scp=0038867446&partnerID=8YFLogxK

U2 - 10.1007/s002200050208

DO - 10.1007/s002200050208

M3 - Article

AN - SCOPUS:0038867446

VL - 189

SP - 373

EP - 393

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -