The paper claims that at leading order in 1/g, the Yang-Mills gluon propagator is a contact term proportional to the delta function, signaling a gluon condensate, but the derivation contains a likely incorrect group-integral step and fits the mass scale by hand.
Volumes of orthogonal groups and unitary groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The matrix integral has many applications in diverse fields. This review article begins by presenting detailed key background knowledge about matrix integral. Then the volumes of orthogonal groups and unitary groups are computed, respectively. As a unification, we present Mcdonald's volume formula for a compact Lie group. With this volume formula, one can easily derives the volumes of orthogonal groups and unitary groups. Applications are also presented as well. Specifically, The volume of the set of mixed quantum states is computed by using the volume of unitary group. The volume of a metric ball in unitary group is also computed as well. There are no new results in this article, but only detailed and elementary proofs of existing results. The purpose of the article is pedagogical, and to collect in one place many, if not all, of the quantum information applications of the volumes of orthogonal and unitary groups.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2024 1verdicts
REJECT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
On the Yang-Mills propagator at strong coupling
The paper claims that at leading order in 1/g, the Yang-Mills gluon propagator is a contact term proportional to the delta function, signaling a gluon condensate, but the derivation contains a likely incorrect group-integral step and fits the mass scale by hand.