RT Journal Article
T1 Thermal behavior and entanglement in Pb-Pb and p-p collisions
A1 García Feal, Xabier
A1 Pajares Vales, Carlos
A1 Vázquez López, Ricardo Antonio
AB The thermalization of the particles produced in collisions of small objects can be achieved by quantum entanglement of the partons of the initial state as was analyzed recently in proton-proton collisions. We extend such study to Pb-Pb collisions and to different multiplicities of proton-proton collisions. We observe that, in all cases, the effective temperature is approximately proportional to the hard scale of the collision. We show that such a relation between the thermalization temperature and the hard scale can be explained as a consequence of the clustering of the color sources. The fluctuations of the number of parton states decrease with multiplicity in Pb-Pb collisions as long as the width of the transverse-momentum distribution decreases, contrary to the p−p case. We relate these fluctuations to the temperature fluctuations by means of a Langevin equation for the white stochastic noise. We show that the multiplicity parton distribution for events with at least one hard parton collision is a Γ distribution. We use this result to compute the entanglement entropy, showing that the leading term is the logarithm of the number of partons, meaning that the n microstates are equally probable and the entropy is maximal. There is another contribution related to the inverse of the normalized parton number fluctuation, which at very high energy changes the behavior from ln n to ln √n
PB American Physical Society
SN 2469-9985
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21559
UL http://hdl.handle.net/10347/21559
LA eng
NO Feal, X., Pajares, C., & Vazquez, R. A. (2019). Thermal behavior and entanglement in Pb-Pb and p−p collisions. Physical Review C, 99(1). doi: 10.1103/physrevc.99.015205
NO We are grateful for a grant from the María de Maeztu Unit of Excellence of Spain and the support of Xunta de Galicia under Project No. ED431C2017. This work has been partially carried out under Project No. FPA2017-83814-P of Ministerio de Ciencia, Innovación y Universidades (Spain)
DS Minerva
RD 23 abr 2026