TY - JOUR
T1 - Nonperturbative Matching Between Equal-Time and Lightcone Quantization
AU - Fitzpatrick, A. Liam
AU - Katz, Emanuel
AU - Walters, Matthew T.
N1 - 23+9 pages, 10 figures; references added, discussion of perturbative matching clarified
PY - 2020/10/14
Y1 - 2020/10/14
N2 - We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ4 theory in d = 2. We discuss the perturbative matching between bare parameters and the failure of its naive nonperturbative extension. We argue that they are nevertheless the same theory nonperturbatively, and that furthermore the nonperturbative map between bare parameters can be extracted from ET perturbation theory via Borel resummation of the mass gap. We test this map by using it to compare physical quantities computed using numerical Hamiltonian truncation methods in ET and LC.
AB - We investigate the nonperturbative relation between lightcone (LC) and standard equal-time (ET) quantization in the context of λϕ4 theory in d = 2. We discuss the perturbative matching between bare parameters and the failure of its naive nonperturbative extension. We argue that they are nevertheless the same theory nonperturbatively, and that furthermore the nonperturbative map between bare parameters can be extracted from ET perturbation theory via Borel resummation of the mass gap. We test this map by using it to compare physical quantities computed using numerical Hamiltonian truncation methods in ET and LC.
KW - hep-th
UR - https://www.scopus.com/pages/publications/85094630209
U2 - 10.1007/JHEP10(2020)092
DO - 10.1007/JHEP10(2020)092
M3 - Article
SN - 1126-6708
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
M1 - 92
ER -