Description and contextualization of the subject

La física fundamental moderna se sustenta en gran medida en los conceptos de campo y simetría. En esta asignatura, exploraremos cómo estas ideas fundamentales se aplican a áreas clave de la física actual. Por un lado, se estudiará la ruptura espontánea de simetría, en la cual el estado fundamental de una teoría carece de la simetría de su lagrangiano. Esta idea es clave para entender el origen de las masas de las partículas y desempeña un papel fundamental en teorías con consecuencias tanto en el laboratorio como en el universo. Por otro lado, se analizará el Modelo Estándar de Física de Partículas. Guiados por observaciones experimentales, se formularán las teorías de las interacciones electromagnética, fuerte y débil, y se explorarán sus consecuencias básicas. Finalmente, se introducirá la física más allá del Modelo Estándar y las consecuencias cosmológicas de la física de partículas, tanto dentro como fuera del Modelo Estándar.

Learning outcomes of the subject

Knowledge or content:

RCO1. Demonstrate the ability to explain the fundamental principles of the quantum world, both at a basic and technical level.

RCO2. Have a basic knowledge of the relevant literature in quantum mechanics and be capable of effectively reading and understanding research articles.

RCO3. Be able to initiate the development of original ideas and applications within the context of quantum physics research.

RCO4. Possess the capacity for independent research, synthesis, and be able to present in a clear and structured way complex issues related to the various areas of quantum mechanics addressed in this Master¿s program.

RCO5. Under supervision, demonstrate the ability to write and defend original work that meets the quality standards required for publication in high-impact indexed journals.

RCO8. Know the basic literature and demonstrate the ability to solve standard problems in the field of Quantum Field Theory.

RCO10. Know the basic literature and demonstrate the ability to solve standard problems in the field of Fields and Particle Physics.





Competencies:

RC1. Possess and understand knowledge that provides a basis or opportunity for developing and/or applying original ideas, often in a research context.

RC2. Apply acquired knowledge and problem-solving skills in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their field of study.

RC3. Demonstrate the ability to integrate knowledge and address the complexity of formulating judgments based on incomplete or limited information, including reflection on social and ethical responsibilities linked to the application of their knowledge and judgments.

RC4. Communicate conclusions, as well as the underlying knowledge and rationale, clearly and unambiguously to both specialized and non-specialized audiences.

RC5. Possess learning skills that enable continued study in a largely self-directed or autonomous manner.



Abilities or skills:

R

RHE1. Demonstrate proficiency in using tools for bibliographic resource searches.

RHE2. Exhibit critical capacity to read research articles and incorporate their findings into one¿s own work.

RHE3. Write and present original work in one of the official languages and in English.

RHE4. Communicate scientific concepts and results clearly and effectively to both specialized and non-specialized audiences, through presentations and publications.

RHE5. Demonstrate the ability for autonomous learning and staying current with scientific and technological advances.





RHT1. Understand and apply the fundamental principles of quantum mechanics to analyze and solve problems in basic research in quantum science.

RHT3. Effectively integrate into a fundamental or applied research project involving quantum aspects, and solve problems in multidisciplinary environments.

RHT4. Evaluate and select appropriate tools and techniques for research in fundamental physics.

Temary

Simetrias

Simetrías globales y locales.

Rotura espontanea de simetría

Bosones de Goldstone

Mecanismo de Higgs

Modelo Estandard :

Electrodinámica Cuántica.

Interacciones débiles

Unificación Electrodébil.

Metodos no-perturbativos:

Soluciones solitónicas

Instantones

Quantum Tunneling in field theory



Early Universe Cosmology.

Implicaciones Cosmológicas de modelos mas allá del modelo estándar.

Evidencias observacionales en Astrofísica y Cosmología.

Bibliography

Basic bibliography

M. E. Peskin and D. V. Schroeder, An introduction to quantum field theory

F. Halzen and A. D. Martin, Quarks & Leptons: An introductory course in modern particle physics

E. Kolb and M. Turner, The early Universe

In-depth bibliography

W. N. Cottingham and D. A. Greenwood, An introduction to the standard model of particle physics.

A. Vilenkin and E. P. S. Shellard, Cosmic strings and other topological defects, Cambridge University Press.

A Bettini, Introduction to Elementary Particle Physics, Cambridge University Press, 2008

A. Zee, Quantum Theory in a Nutshell, Princeton University Press.