The Quantum Sine-Gordon model in perturbative AQFT

TY - JOUR

T1 - The Quantum Sine-Gordon model in perturbative AQFT

AU - Bahns, Dorothea

AU - Rejzner, Katarzyna Anna

N1 - © The Author(s) 2017

PY - 2018/1

Y1 - 2018/1

N2 - We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation value—with respect to the vacuum or a Hadamard state—of the Epstein Glaser S-matrix and the interacting current or the field respectively converge, both given as formal power series.

AB - We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation value—with respect to the vacuum or a Hadamard state—of the Epstein Glaser S-matrix and the interacting current or the field respectively converge, both given as formal power series.

UR - http://www.scopus.com/inward/record.url?scp=85027973808&partnerID=8YFLogxK

U2 - 10.1007/s00220-017-2944-4

DO - 10.1007/s00220-017-2944-4

M3 - Article

SN - 0010-3616

VL - 357

SP - 421

EP - 446

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

ER -