Dynamical Symmetry and the Thermofield State at Large N

Journal Article · 10 February 2022 · Universe

DOI: https://doi.org/10.3390/universe8020114 · OSTI ID:1981204

Jevicki, Antal ^[1]; Liu, Xianlong  ^[2]; Yoon, Junggi ^[3]; Zheng, Junjie ^[2]

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1. Brown Univ., Providence, RI (United States); Brown Univ., Providence, RI (United States)
2. Brown Univ., Providence, RI (United States)
3. Asian Pacific Center for Theoretical Physics, Pohang (Korea, Republic of); Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of)

We discuss thermofield double QFT at real time, in the large N limit. First, we establish a (dynamical) symmetry, which we argue holds in general for the real-time portion of the Schwinger–Kelydish contour. At large N, this symmetry is seen to generate a one-parameter degeneracy of stationary collective solutions. The construction is explicitly worked out on an example of the O(N) vector QFT. As a nontrivial application, we describe the construction of the corresponding (large N) thermofield double state in real-time collective formalism.

• Research Organization: Brown Univ., Providence, RI (United States); Univ. of California, Davis, CA (United States)
• Sponsoring Organization: National Research Foundation of Korea (NRF); USDOE Office of Science (SC)
• Grant/Contract Number: SC0010010; SC0019480
• OSTI ID: 1981204
• Journal Information: Universe, Journal Name: Universe Journal Issue: 2 Vol. 8; ISSN 2218-1997
• Publisher: MDPICopyright Statement
• Country of Publication: United States
• Language: English