PIRSA:20010090

Color Confinement, Bose-Einstein Condensation and Holographic Emergent Space

Hanada, M. (2020). Color Confinement, Bose-Einstein Condensation and Holographic Emergent Space. Perimeter Institute. https://pirsa.org/20010090

Hanada, Masanori. Color Confinement, Bose-Einstein Condensation and Holographic Emergent Space. Perimeter Institute, Jan. 28, 2020, https://pirsa.org/20010090 

          @misc{ pirsa_PIRSA:20010090,
            doi = {10.48660/20010090},
            url = {https://pirsa.org/20010090},
            author = {Hanada, Masanori},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Color Confinement, Bose-Einstein Condensation and Holographic Emergent Space},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jan},
            note = {PIRSA:20010090 see, \url{https://pirsa.org}}
          }

Masanori Hanada

Kyoto University

Talk number
PIRSA:20010090
Collection
Talk Type
Subject
Abstract

We propose a unified manner of understanding two important phenomena: color confinement in large-N gauge theory, and Bose-Einstein condensation (BEC). We do this by clarifying the relation between the standard criteria, based on the off-diagonal long range order (ODLRO) for the BEC and the Polyakov loop for gauge theory: the constant offset of the distribution of Polyakov line phase is ODLRO. Indistinguishability associated with the symmetry group --- SU(N) or O(N) in gauge theory, and S_N permutation in the system of identical bosons --- plays the key role in both cases. This viewpoint may have implications to confinement at finite N, and to quantum gravity via gauge/gravity duality.