# Conformal Dimensions via Large Charge Expansion

## Abstract

We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-Q fields at the Wilson-Fisher fixed point in the O(2) universality class. Using it, we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global U(1) charge can be obtained via a series expansion in the inverse charge 1/Q . We find that the conformal dimensions of the lowest operator with a fixed charge Q are almost entirely determined by the first few terms in the series

- Authors:

- Publication Date:

- Research Org.:
- Duke Univ., Durham, NC (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1420013

- Alternate Identifier(s):
- OSTI ID: 1502073

- Grant/Contract Number:
- FG02-05ER41368

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 6; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Banerjee, Debasish, Chandrasekharan, Shailesh, and Orlando, Domenico. Conformal Dimensions via Large Charge Expansion. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.120.061603.
```

```
Banerjee, Debasish, Chandrasekharan, Shailesh, & Orlando, Domenico. Conformal Dimensions via Large Charge Expansion. United States. doi:10.1103/PhysRevLett.120.061603.
```

```
Banerjee, Debasish, Chandrasekharan, Shailesh, and Orlando, Domenico. Fri .
"Conformal Dimensions via Large Charge Expansion". United States. doi:10.1103/PhysRevLett.120.061603.
```

```
@article{osti_1420013,
```

title = {Conformal Dimensions via Large Charge Expansion},

author = {Banerjee, Debasish and Chandrasekharan, Shailesh and Orlando, Domenico},

abstractNote = {We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-Q fields at the Wilson-Fisher fixed point in the O(2) universality class. Using it, we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global U(1) charge can be obtained via a series expansion in the inverse charge 1/Q . We find that the conformal dimensions of the lowest operator with a fixed charge Q are almost entirely determined by the first few terms in the series},

doi = {10.1103/PhysRevLett.120.061603},

journal = {Physical Review Letters},

number = 6,

volume = 120,

place = {United States},

year = {2018},

month = {2}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1103/PhysRevLett.120.061603

DOI: 10.1103/PhysRevLett.120.061603

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Cited by: 9 works

*Citation information provided by*

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Web of Science

#### Figures / Tables:

FIG. 1. : Plot of the values of

*D*(*Q*) extracted from our Monte Carlo calculations at the*O*(2) WF fixed point, along with the plot of Eq. (1) (solid line) with our estimated values*c*_{3/2}= 1.195 and*c*_{1/2 }= 0.075 and previously computed value*c*_{0}= −0.094. It ismore »
All figures and tables
(7 total)

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Works referencing / citing this record:

##
A matrix CFT at multiple large charges

journal, June 2018

- Loukas, Orestis
- Journal of High Energy Physics, Vol. 2018, Issue 6

##
Conformal Dimensions via Large Charge Expansion

text, January 2018

- Banerjee, Debasish; Chandrasekharan, Shailesh; Orlando, Domenico
- Deutsches Elektronen-Synchrotron, DESY, Hamburg

##
A matrix CFT at multiple large charges

journal, June 2018

- Loukas, Orestis
- Journal of High Energy Physics, Vol. 2018, Issue 6

Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*