TY - JOUR
T1 - Relative Cauchy evolution for linear homotopy AQFTs
AU - Bruinsma, Simen Hylke
AU - Fewster, Chris
AU - Schenkel, Alexander
N1 - © The Author(s) 2022
PY - 2022/6
Y1 - 2022/6
N2 - This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation quantization of Poisson chain complexes. The key element of the construction is a rectification theorem proving that the homotopy time-slice axiom, which is a higher categorical relaxation of the time-slice axiom of AQFT, can be strictified for theories in this class. The general concept is illustrated through a detailed study of the relative Cauchy evolution for the homotopy AQFT associated with linear Yang-Mills theory, for which the usual stress-energy tensor is recovered.
AB - This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation quantization of Poisson chain complexes. The key element of the construction is a rectification theorem proving that the homotopy time-slice axiom, which is a higher categorical relaxation of the time-slice axiom of AQFT, can be strictified for theories in this class. The general concept is illustrated through a detailed study of the relative Cauchy evolution for the homotopy AQFT associated with linear Yang-Mills theory, for which the usual stress-energy tensor is recovered.
UR - https://arxiv.org/abs/2108.10592
U2 - 10.1007/s00220-022-04352-7
DO - 10.1007/s00220-022-04352-7
M3 - Article
SN - 0010-3616
VL - 392
SP - 621
EP - 657
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -