Operator thermalisation in d > 2: Huygens or resurgence
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Operator thermalisation in d > 2 : Huygens or resurgence. / Engelsoey, Julius; Larana-Aragon, Jorge; Sundborg, Bo; Wintergerst, Nico.
In: Journal of High Energy Physics, Vol. 2020, No. 9, 103, 16.09.2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Operator thermalisation in d > 2
T2 - Huygens or resurgence
AU - Engelsoey, Julius
AU - Larana-Aragon, Jorge
AU - Sundborg, Bo
AU - Wintergerst, Nico
PY - 2020/9/16
Y1 - 2020/9/16
N2 - Correlation functions of most composite operators decay exponentially with time at non-zero temperature, even in free field theories. This insight was recently codified in an OTH (operator thermalisation hypothesis). We reconsider an early example, with large N free fields subjected to a singlet constraint. This study in dimensions d > 2 motivates technical modifications of the original OTH to allow for generalised free fields. Furthermore, Huygens' principle, valid for wave equations only in even dimensions, leads to differences in thermalisation. It works straightforwardly when Huygens' principle applies, but thermalisation is more elusive if it does not apply. Instead, in odd dimensions we find a link to resurgence theory by noting that exponential relaxation is analogous to non- perturbative corrections to an asymptotic perturbation expansion. Without applying the power of resurgence technology we still find support for thermalisation in odd dimensions, although these arguments are incomplete.
AB - Correlation functions of most composite operators decay exponentially with time at non-zero temperature, even in free field theories. This insight was recently codified in an OTH (operator thermalisation hypothesis). We reconsider an early example, with large N free fields subjected to a singlet constraint. This study in dimensions d > 2 motivates technical modifications of the original OTH to allow for generalised free fields. Furthermore, Huygens' principle, valid for wave equations only in even dimensions, leads to differences in thermalisation. It works straightforwardly when Huygens' principle applies, but thermalisation is more elusive if it does not apply. Instead, in odd dimensions we find a link to resurgence theory by noting that exponential relaxation is analogous to non- perturbative corrections to an asymptotic perturbation expansion. Without applying the power of resurgence technology we still find support for thermalisation in odd dimensions, although these arguments are incomplete.
KW - 1
KW - N Expansion
KW - AdS-CFT Correspondence
KW - Holography and condensed matter physics (AdS
KW - CMT)
KW - Quantum Dissipative Systems
KW - QUANTUM
KW - TRANSITION
KW - MODELS
U2 - 10.1007/JHEP09(2020)103
DO - 10.1007/JHEP09(2020)103
M3 - Journal article
VL - 2020
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 9
M1 - 103
ER -
ID: 249905062