Classical solution for the linear sigma model
Danilo V. Ruy
TL;DR
This paper presents an analytical approach using Padé approximants to find solutions to the linear sigma model, demonstrating solutions for multiple traveling waves in 1+3 dimensions applicable to any number of bosons.
Contribution
Introduces a novel analytical method employing Padé approximants to solve the linear sigma model with multi-wave solutions in higher dimensions.
Findings
Solutions valid for any number of bosons
Analytical solutions for two and three traveling waves
Method applicable in 1+3 dimensions
Abstract
In this paper, the linear sigma model is studied using a method for finding analytical solutions based on Pad\'e approximants. Using the solutions of two and three traveling waves in 1+3 dimensions we found, we are able to show a solution that is valid for an arbitrary number of bosons and traveling waves.
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