Conformal Dimensions in the Large Charge Sectors at the O (4) Wilson-Fisher Fixed Point

Banerjee, Debasish; Chandrasekharan, Shailesh; Orlando, Domenico; Reffert, Susanne (2019). Conformal Dimensions in the Large Charge Sectors at the O (4) Wilson-Fisher Fixed Point. Physical review letters, 123(5) American Physical Society 10.1103/PhysRevLett.123.051603

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We study the Oð4Þ Wilson-Fisher fixed point in 2 + 1 dimensions in fixed large-charge sectors identified by products of two spin-j representations (jL; jR). Using effective field theory we derive a formula for the conformal dimensions D(jL; jR) of the leading operator in terms of two constants, c3=2 and c1=2, when the sum jL þ jR is much larger than the difference jL − jR . We compute D(jL ; jR) when jL = jR with Monte Carlo calculations in a discrete formulation of the Oð4Þ lattice field theory, and show excellent agreement with the predicted formula and estimate c3=2 = 1.068(4) and c1/2 = 0.083(3).

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Orlando, Domenico and Reffert, Susanne

Subjects:

500 Science > 530 Physics

ISSN:

0031-9007

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

05 Nov 2019 11:02

Last Modified:

05 Nov 2019 11:02

Publisher DOI:

10.1103/PhysRevLett.123.051603

ArXiv ID:

1902.09542

BORIS DOI:

10.7892/boris.134344

URI:

https://boris.unibe.ch/id/eprint/134344

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