Exact Results for the SU(∞) Principal Chiral Model

Orland, Peter

doi:10.1088/1742-6596/563/1/012022

Cited by 2 publications

(2 citation statements)

References 31 publications

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“…It is conceivable that information on their renormalon structure could be obtained from their form factor representation. For the PCF at large N , a relatively compact representation of this type exists for some correlators [63]. This and similar results might be the starting point for a study of the resurgent structure of correlation functions in integrable, asymptotically free theories.…”

Section: Conclusion and Prospectssupporting

confidence: 65%

New renormalons from analytic trans-series

Mariño¹,

Miravitllas²,

Reis³

2021

Preprint

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We study the free energy of integrable, asymptotically free field theories in two dimensions coupled to a conserved charge. We develop methods to obtain analytic expressions for its trans-series expansion, directly from the Bethe ansatz equations, and we use this result to determine the structure of its Borel singularities. We find a new class of infrared renormalons which does not fit the traditional expectations of renormalon physics proposed long ago by 't Hooft and Parisi. We check the existence of these new singularities with detailed calculations based on the resurgent analysis of the perturbative expansion. Our results show that the structure of renormalons in asymptotically free theories is more subtle than previously thought, and that large N estimates of their location might be misleading.

show abstract

Section: Conclusion and Prospectssupporting

confidence: 65%

New renormalons from analytic trans-series

Mariño¹,

Miravitllas²,

Reis³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…It is conceivable that information on their renormalon structure could be obtained from their form factor representation. For the PCF at large N , a relatively compact representation of this type exists for some correlators [64]. This and similar results might be the starting point for a study of the resurgent structure of correlation functions in integrable, asymptotically free theories.…”

Section: Jhep08(2022)279supporting

confidence: 65%

New renormalons from analytic trans-series

Mariño

Miravitllas

Reis

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We study the free energy of integrable, asymptotically free field theories in two dimensions coupled to a conserved charge. We develop methods to obtain analytic expressions for its trans-series expansion, directly from the Bethe ansatz equations, and we use this result to determine the structure of its Borel singularities. We find a new class of infrared renormalons which does not fit the traditional expectations of renormalon physics proposed long ago by ’t Hooft and Parisi. We check the existence of these new singularities with detailed calculations based on the resurgent analysis of the perturbative expansion. Our results show that the structure of renormalons in asymptotically free theories is more subtle than previously thought, and that large N estimates of their location might be misleading.

show abstract

Exact Results for the SU(∞) Principal Chiral Model

Cited by 2 publications

References 31 publications

New renormalons from analytic trans-series

New renormalons from analytic trans-series

New renormalons from analytic trans-series

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