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Related Experiment Video

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Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

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Published on: May 15, 2017

Thermal duality and Hagedorn transition from p-adic strings.

Tirthabir Biswas¹, Jose A R Cembranos, Joseph I Kapusta

¹Department of Physics, St. Cloud State University, St. Cloud, Minnesota 56301, USA.

Physical Review Letters

|April 7, 2010

Summary

We present the finite temperature theory for p-adic string models, revealing thermal duality and insights into the Hagedorn transition. This work explores thermal and inverse thermal modes in nonlocal field theories.

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Area of Science:

Theoretical Physics
String Theory
Quantum Field Theory

Background:

P-adic string theory offers a unique framework for exploring quantum gravity and string theory.
Understanding thermal properties of string theories is crucial for addressing high-energy physics phenomena.

Purpose of the Study:

To develop the finite temperature theory for p-adic string models.
To investigate the thermal properties and duality of these nonlocal field theories.
To analyze the Hagedorn transition within the p-adic string context.

Main Methods:

Development of finite temperature theory for p-adic string models.
Analysis of thermal and inverse thermal modes.
Investigation of thermal duality at leading order (genus one).
Examination of asymptotic limits for arbitrary genus.

Main Results:

Thermal properties can be described by standard thermal modes and inverse thermal modes.
A thermal duality analogous to T-duality is observed at leading order.
P-adic strings recover asymptotic limits (high and low temperature) for arbitrary genus.
Findings shed light on the nature of the Hagedorn transition.

Conclusions:

The finite temperature theory of p-adic strings exhibits a thermal duality.
P-adic string models provide a valuable framework for studying thermal properties and phase transitions in string theory.
The Hagedorn transition in p-adic string theory is further elucidated.