p-adic string theories provide lattice Discretization to the ordinary string worldsheet.

Area of Science:

• Theoretical Physics
• String Theory
• Mathematical Physics

Background:

• Tachyonic instability is a key challenge in string theory.
• P-adic string models offer a novel mathematical framework.
• Understanding the relationship between p-adic and ordinary strings is crucial.

Purpose of the Study:

• To explore the utility of p-adic string models in addressing tachyonic instability.
• To investigate the empirical relationship between p-adic strings and ordinary strings.
• To propose p-adic strings as a method for discretizing the string worldsheet.

Main Methods:

• Analysis of p-adic string models.
• Examination of the p-->1 limit.
• Application of renormalization group concepts.

Main Results:

• P-adic strings are empirically related to ordinary strings in the p-->1 limit.
• The p-->1 limit suggests a connection to continuum physics.
• P-adic models can represent a discretized string worldsheet.

Conclusions:

• P-adic strings provide a valuable tool for studying tachyonic instability in string theory.
• The p-->1 limit serves as a natural continuum limit analogous to renormalization group procedures.
• This framework offers a new perspective on discretizing the string worldsheet.