About Me

PhD - Theoretical Physics
Benemérita Universidad Autónoma de Puebla (2017)
PhD Equivalency- Mathematics
Universidad Carlos III de Madrid (2023)

Short CV


Contact Details


My research lies within the field of mathematical and theoretical physics. In particular, I am interested in the study of classical and quantum aspects of general relativity, and field theory.

List of publications [see also INSPIRE]

  1. Dirac geometric approach for the unimodular Holst action
    Bogar Díaz, Eduardo J.S. Villaseñor, and Diana Zomeño
    Mathematics 12 (2024) 980
  2. Classical analogs of generalized purities, entropies, and logarithmic negativity
    Bogar Díaz, Diego González, Marcos J. Hernández, and J. David Vergara
    Physical Review A 108 (2023) 012411 [arXiv: 2305.02887]
  3. Structure of the medium formed in heavy ion collisions
    J. R. Alvarado García, D. Rosales Herrera, A. Fernández Téllez, Bogar Díaz, and J. E. Ramírez
    Universe 9 (2023) 291 [arXiv: 2305.14860]
  4. Poisson brackets in Sobolev spaces: a mock holonomy-flux algebra
    J. Fernando Barbero G., Marc Basquens, Bogar Díaz, and Eduardo J.S. Villaseñor
    Physica Scripta 97 (2022) 125202 [arXiv: 2207.00342]
  5. Edge observables of the Maxwell-Chern-Simons theory
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, and Eduardo J.S. Villaseñor
    Physical Review D 106 (2022) 025011 [arXiv: 2204.06073]
  6. Adiabatic lapse rate of real gases
    Bogar Díaz, Miguel Ángel García-Ariza, and J.E. Ramírez
    Physical Review E 106 (2022) 014108 [arXiv: 2203.12040]
  7. Classical analogs of the covariance matrix, purity, linear entropy, and von Neumann entropy
    Bogar Díaz, Diego González, Daniel Gutiérrez-Ruiz, and J. David Vergara
    Physical Review A 105 (2022) 062412 [arXiv: 2112.10899]
  8. Consistent and non-consistent deformations of gravitational theories
    J. Fernando Barbero G., Marc Basquens, Bogar Díaz, and Eduardo J.S. Villaseñor
    Journal of High Energy Physics 05 (2022) 175 [arXiv: 2202.07997]
  9. Mobility strategies based on percolation theory to avoid the spread of diseases: COVID-19
    Diana Rosales Herrera, J.E. Ramírez, Jorge Velázquez-Castro, Bogar Díaz, M. I. Martínez, P. Vázquez Juárez, and A. Fernández Téllez
    Revista Mexicana de Física 68 (2022) 011701 [arXiv: 2105.10934]
  10. Interacting color strings as the origin of the liquid behavior of the quark-gluon plasma
    J.E. Ramírez, Bogar Díaz, and C. Pajares
    Physical Review D 103 (2021) 094029 [arXiv: 2012.07920]
  11. Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, and Eduardo J.S. Villaseñor
    Physical Review D 103 (2021) 064062 [arXiv: 2101.12311]
  12. Concise symplectic formulation for tetrad gravity
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, and Eduardo J.S. Villaseñor
    Physical Review D 103 (2021) 024051 [arXiv: 2011.00661]
  13. Adiabatic lapse rate of nonideal gases: The role of molecular interactions and vibrations
    Bogar Díaz and J.E. Ramírez
    Physical Review E 102 (2020) 042107 [arXiv: 2007.13896]
  14. Generalizations of the Pontryagin and Husain-Kuchař actions to manifolds with boundary
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, and Eduardo J.S. Villaseñor
    Journal of High Energy Physics 10 (2019) 121 [arXiv: 1906.09820]
  15. Dirac's algorithm in the presence of boundaries: a practical guide to a geometric approach
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, and Eduardo J.S. Villaseñor
    Classical and Quantum Gravity 36 (2019) 205014 [arXiv: 1904.11790]
  16. Effects of the second virial coefficient on the adiabatic lapse rate of dry atmospheres
    Emilio Alvarez Navarro, Bogar Díaz, Miguel Ángel García-Ariza, and J.E. Ramírez
    The European Physical Journal Plus 134 (2019) 458 [arXiv: 1810.10411]
  17. Symmetries of first-order Lovelock gravity
    Merced Montesinos, Rodrigo Romero, and Bogar Díaz
    Classical and Quantum Gravity 35 (2018) 235015 [arXiv: 1808.03723]
  18. Geometric Lagrangian approach to the physical degree of freedom count in field theory
    Bogar Díaz and Merced Montesinos
    Journal of Mathematical Physics 59 (2018) 052901 [arXiv: 1710.01371]
  19. Reformulation of the symmetries of first-order general relativity
    Merced Montesinos, Diego González, Mariano Celada, and Bogar Díaz
    Classical and Quantum Gravity 34 (2017) 205002 [arXiv: 1704.04248]
  20. Lagrangian approach to the physical degree of freedom count
    Bogar Díaz, Daniel Higuita, and Merced Montesinos
    Journal of Mathematical Physics 55 (2014) 122901 [arXiv: 1406.1156]
  21. Noether symmetries in the phase space
    Bogar Díaz, Elizabeth Galindo-Linares, Cupatitzio Ramírez-Romero, Gilberto Silva-Ortigoza, Román Suárez-Xique, Gerardo F. Torres del Castillo, and Mercedes Velázquez
    AIP Advances 4 (2014) 097135
  22. Maxwell Equations Solution Using Spin-weighted Spherical Harmonics
    Bogar Díaz and Gerardo F. Torres del Castillo
    AIP Conference Proceedings 1361 (2011) 383

CONEX-Plus project (2021-2024)

CONEX-Plus is funded by UC3M, the European Commission through the Marie-Sklodowska Curie COFUND Action (H2020-MSCA-COFUND-2017- GA 801538).

In this project, we propose to analyze some theoretical issues related to field theories defined on spatial regions with boundary. These systems are relevant in areas like condensed matter physics, quantum computation, general relativity, and theoretical physics.
The main topics that we want to explore are:
i) The geometric understanding of the so-called boundary degrees of freedom in the classical and quantum context. Examples of theories in which these are supposed to exist, are Chern-Simons, BF, and Maxwell-Chern-Simons models.
ii) In the context of gravitational physics, we have found a rich interplay between the dynamics of the theory in the bulk (Husain-Kuchar model) and the induced one on the boundary (gravitational theories). Both are very interesting by themselves and the fact that they can be so related is a remarkable result. A deep understanding of this kind of interplay is mandatory, in this example and other theories.

During this project I expect to acquire new knowledge in different research areas, such as quantum information theory, percolation theory, statistical mechanics and quantum gravity.

Related publications

  1. Dirac geometric approach for the unimodular Holst action
    Bogar Díaz, Eduardo J.S. Villaseñor, and Diana Zomeño
    Mathematics 12 (2024) 980
  2. Classical analogs of generalized purities, entropies, and logarithmic negativity
    Bogar Díaz, Diego González, Marcos J. Hernández, and J. David Vergara
    Physical Review A 108 (2023) 012411 [arXiv: 2305.02887]
  3. Structure of the medium formed in heavy ion collisions
    J. R. Alvarado García, D. Rosales Herrera, A. Fernández Téllez, Bogar Díaz, and J. E. Ramírez
    Universe 9 (2023) 291 [arXiv: 2305.14860]
  4. Poisson brackets in Sobolev spaces: a mock holonomy-flux algebra
    J. Fernando Barbero G., Marc Basquens, Bogar Díaz, and Eduardo J.S. Villaseñor
    Physica Scripta 97 (2022) 125202 [arXiv: 2207.00342]
  5. Edge observables of the Maxwell-Chern-Simons theory
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, and Eduardo J.S. Villaseñor
    Physical Review D 106 (2022) 025011 [arXiv: 2204.06073]
  6. Adiabatic lapse rate of real gases
    Bogar Díaz, Miguel Ángel García-Ariza, and J.E. Ramírez
    Physical Review E 106 (2022) 014108 [arXiv: 2203.12040]
  7. Classical analogs of the covariance matrix, purity, linear entropy, and von Neumann entropy
    Bogar Díaz, Diego González, Daniel Gutiérrez-Ruiz, and J. David Vergara
    Physical Review A 105 (2022) 062412 [arXiv: 2112.10899]
  8. Consistent and non-consistent deformations of gravitational theories
    J. Fernando Barbero G., Marc Basquens, Bogar Díaz, and Eduardo J.S. Villaseñor
    Journal of High Energy Physics 05 (2022) 175, [arXiv: 2202.07997]
  9. Mobility strategies based on percolation theory to avoid the spread of diseases: COVID-19
    Diana Rosales Herrera, J.E. Ramírez, Jorge Velázquez-Castro, Bogar Díaz, M. I. Martínez, P. Vázquez Juárez, and A. Fernández Téllez
    Revista Mexicana de Física 68 (2022) 011701, [arXiv: 2105.10934]
  10. Interacting color strings as the origin of the liquid behavior of the quark-gluon plasma
    J.E. Ramírez, Bogar Díaz, and C. Pajares
    Physical Review D 103 (2021) 094029, [arXiv: 2012.07920]
  11. Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action
    J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol, and Eduardo J.S. Villaseñor
    Physical Review D 103 (2021) 064062, [arXiv: 2101.12311]