p-Adic Analysis: Essential Ideas and Results

Zúñiga–Galindo, W. A.

doi:10.1007/978-3-319-46738-2_1

Pseudodifferential Equations Over Non-Archimedean Spaces

2016

DOI: 10.1007/978-3-319-46738-2_1

|View full text |Cite

p-Adic Analysis: Essential Ideas and Results

W. A. Zúñiga–Galindo

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

References 84 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Meromorphic continuation of Koba-Nielsen string amplitudes

Bocardo-Gaspar

Veys

Zúñiga–Galindo

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

In this article, we establish in a rigorous mathematical way that Koba-Nielsen amplitudes defined on any local field of characteristic zero are bona fide integrals that admit meromorphic continuations in the kinematic parameters. Our approach allows us to study in a uniform way open and closed Koba-Nielsen amplitudes over arbitrary local fields of characteristic zero. In the regularization process we use techniques of local zeta functions and embedded resolution of singularities. As an application we present the regularization of p-adic open string amplitudes with Chan-Paton factors and constant B-field. Finally, all the local zeta functions studied here are partition functions of certain 1D log-Coulomb gases, which shows an interesting connection between Koba-Nielsen amplitudes and statistical mechanics.

show abstract

Meromorphic continuation of Koba-Nielsen string amplitudes

Bocardo-Gaspar

Veys

Zúñiga–Galindo

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

p-Adic Analysis: Essential Ideas and Results

Cited by 1 publication

References 84 publications

Meromorphic continuation of Koba-Nielsen string amplitudes

Meromorphic continuation of Koba-Nielsen string amplitudes

Contact Info

Product

Resources

About