# Large $q$ expansion in the Sachdev-Ye-Kitaev model

## Abstract

We consider the Sachdev-Ye-Kitaev (SYK) model, where interaction involves q fermions at a time. We find the 1/q^{2} correction to the thermal two-point function in the large q expansion. Using this result, we find the 1/q^{3} correction to the SYK free energy.

- Authors:

- Publication Date:

- Research Org.:
- Harvard Univ., Cambridge, MA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC); Multidisciplinary University Research Initiatives (MURI)

- OSTI Identifier:
- 1490913

- Alternate Identifier(s):
- OSTI ID: 1610982

- Grant/Contract Number:
- de-sc0007870; SC0007870; W911NF-14-1-0003

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 2; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Astronomy & Astrophysics; Physics; Critical phenomena; Exotic phases of matter; Conformal field theory; Diagrammatic methods; Feynman diagrams; Large-N expansion in field theory; Sachdev-Ye-Kitaev model

## Citation Formats

```
Tarnopolsky, Grigory. Large q expansion in the Sachdev-Ye-Kitaev model. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.026010.
```

```
Tarnopolsky, Grigory. Large q expansion in the Sachdev-Ye-Kitaev model. United States. https://doi.org/10.1103/PhysRevD.99.026010
```

```
Tarnopolsky, Grigory. Tue .
"Large q expansion in the Sachdev-Ye-Kitaev model". United States. https://doi.org/10.1103/PhysRevD.99.026010.
```

```
@article{osti_1490913,
```

title = {Large q expansion in the Sachdev-Ye-Kitaev model},

author = {Tarnopolsky, Grigory},

abstractNote = {We consider the Sachdev-Ye-Kitaev (SYK) model, where interaction involves q fermions at a time. We find the 1/q2 correction to the thermal two-point function in the large q expansion. Using this result, we find the 1/q3 correction to the SYK free energy.},

doi = {10.1103/PhysRevD.99.026010},

journal = {Physical Review D},

number = 2,

volume = 99,

place = {United States},

year = {2019},

month = {1}

}

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https://doi.org/10.1103/PhysRevD.99.026010

https://doi.org/10.1103/PhysRevD.99.026010

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Cited by: 12 works

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Works referenced in this record:

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##
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