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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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Campos de Torsión en Física de Muchos Cuerpos

Benjamin Doyon1

  • 1Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK.

Entropy (Basel, Switzerland)
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Resumen
Este resumen es generado por máquina.

Los campos de torsión son cruciales en la física de muchos cuerpos, impactando las transiciones de fase y el entrelazamiento cuántico. Este trabajo ofrece una revisión pedagógica de los campos de torsión y sus diversas aplicaciones en 1+1 dimensiones.

Palabras clave:
entropía de entrelazamientolocalidad en física de muchos cuerposcampos de torsión

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Área de la Ciencia:

  • Física de la Materia Condensada
  • Teoría Cuántica de Campos
  • Mecánica Estadística

Sus antecedentes:

  • Los campos de torsión son fundamentales en la física de muchos cuerpos.
  • Se utilizan en estudios de transiciones de fase, transformaciones cuánticas y medidas de entrelazamiento.

Objetivo del estudio:

  • Proporcionar una introducción pedagógica a los campos de torsión.
  • Revisar sus aplicaciones, centrándose en 1+1 dimensiones.

Principales métodos:

  • Exploración de conceptos como localidad, simetrías e invarianza topológica.
  • Revisión de aplicaciones en cadenas cuánticas, teoría de campos y mecánica estadística.

Principales resultados:

  • Discusión detallada de las propiedades de los campos de torsión, incluida la forma exponencial y los defectos de la integral de camino.
  • Conexiones con la renormalización, los sistemas integrables y la entropía de entrelazamiento.

Conclusiones:

  • Los campos de torsión ofrecen un marco unificado en diversos dominios de la física.
  • Su aplicación se extiende desde sistemas cuánticos hasta modelos clásicos.