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
VL - 357
SP - 421
EP - 446
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
ER -