Research output: Contribution to journal › Article › peer-review
Ultraviolet regularization of energy of two static sources in the bottom-up holographic approach to strong interactions. / Афонин, Сергей Сергеевич.
In: Theoretical and Mathematical Physics, Vol. 216, No. 3, 01.09.2023, p. 1278-1286.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Ultraviolet regularization of energy of two static sources in the bottom-up holographic approach to strong interactions
AU - Афонин, Сергей Сергеевич
PY - 2023/9/1
Y1 - 2023/9/1
N2 - Abstract: It is well known that the potential energy of two heavy quarks carries an important information about the physics of confinement. Using the Wilson loop confinement criterion and the Nambu–Goto string action, this energy can be derived within the bottom-up holographic approach to strong interactions. We recapitulate the standard holographic derivation of the potential between two static sources with emphasis on the physical interpretation of the results. We address the problem of regularization of the arising ultraviolet divergence in the general case, with “ultraviolet” referring to small values of the holographic coordinate associated with the inverse energy scale in holographic duality. We show that in the case of the widely used soft-wall holographic models many ultraviolet divergences can appear in principle, although the appearance of more than two different divergences looks somewhat exotic in practice. Some possible subtraction schemes are discussed. Different schemes lead to a different constant shift of the potential energy, which entails a certain scheme dependence of holographic predictions for the constant term in the resulting Cornell-like confinement potentials.
AB - Abstract: It is well known that the potential energy of two heavy quarks carries an important information about the physics of confinement. Using the Wilson loop confinement criterion and the Nambu–Goto string action, this energy can be derived within the bottom-up holographic approach to strong interactions. We recapitulate the standard holographic derivation of the potential between two static sources with emphasis on the physical interpretation of the results. We address the problem of regularization of the arising ultraviolet divergence in the general case, with “ultraviolet” referring to small values of the holographic coordinate associated with the inverse energy scale in holographic duality. We show that in the case of the widely used soft-wall holographic models many ultraviolet divergences can appear in principle, although the appearance of more than two different divergences looks somewhat exotic in practice. Some possible subtraction schemes are discussed. Different schemes lead to a different constant shift of the potential energy, which entails a certain scheme dependence of holographic predictions for the constant term in the resulting Cornell-like confinement potentials.
KW - holographic quantum chromodynamics
UR - https://www.mendeley.com/catalogue/6457951f-e91a-3a55-9781-25060266bd59/
U2 - 10.1134/S0040577923090039
DO - 10.1134/S0040577923090039
M3 - Article
VL - 216
SP - 1278
EP - 1286
JO - Theoretical and Mathematical Physics
JF - Theoretical and Mathematical Physics
SN - 0040-5779
IS - 3
ER -
ID: 110883478