Welcome to the website supporting the virtual seminar series on Pseudo-Hermitian Hamiltonians in Quantum Physics.

This virtual seminar series is part of the regular real life seminar series on Pseudo-Hermitian Hamiltonians in Quantum Physics that was initiated by Miloslav Znojil in 2003. It is intended to bridge the gap, caused by the COVID-19 pandemic, between the real life XIXth meeting and the upcoming XXth meeting in Santa Fe in 2021. For past events see the PHHQP website. The subject matter of this series is the study of physical aspects of non-Hermitian systems from a theoretical and experimental point of view. Of special interest are systems that possess a PT-symmetry (a simultaneous reflection in space and time).

Upcoming : Andreas Fring, (City, University of London, UK), 22/04/2021, 15:00 London time (=14:00 GMT)

Non-Hermitian gauge field theories and BPS limits

Abstract: We present an overview of some key results obtained in a recent series devoted to non-Hermitian quantum field theories for which we systematically modify the underlying symmetries. Particular attention is placed on the interplay between the continuous symmetry group that we alter from global to local, from Abelian to non-Abelian, from rank one to generic rank N, and the discrete anti-linear modified CPT-symmetries. The presence of the latter guarantees the reality of the mass spectrum in a certain parameter regime. We investigate the extension of Goldstone’s theorem and the Higgs mechanism, which we demonstrate to work in the conventional fashion in the CPT-symmetric regime, but which needs to be modified technically at the standard exceptional points of the mass spectrum and entirely fails at what we refer to as zero exceptional points as well as in the broken CPT-symmetric regime. In the full non-Hermitian non-Abelian gauge theory we identify the t’Hooft-Polyakov monopoles by means of a fourfold Bogomol’nyi-Prasad-Sommerfield (BPS) limit. We investigate this limit further for other types of non-Hermitian field theories in 1+1 dimensions that possess complex super-exponential and inverse hyperbolic kink/anti-kink solutions and for 3+1 dimensional Skyrme models for which we find new types of complex solutions, that all have real energies due to the presence of different types of CPT-symmetries.

Based on:

A. Fring, Takanobu Taira arXiv:2103.13519

Check your local time here https://www.timeanddate.com/worldclock/

14:00 GMT = 15:00 in London = 10:00 in New York = 23:00 in Tokyo

Upcoming seminars

Andreas Fring, 22/04, 15:00 London time (=14:00 GMT)

Non-Hermitian gauge field theories and BPS limits

Andrew Harter, 06/05, 15:00 London time (=14:00 GMT)

Induced Symmetries and Topological States of a Floquet PT-symmetric lattice

Özlem Yeşiltaş, 20/05, 15:00 London time (=14:00 GMT)

Pseudo-Hermitian Dirac Operator On the Torus For The Massless Fermions

Iveta Semorádová , 03/06, 15:00 London time (=14:00 GMT)


Complete list of speakers

  1. Ali Mostafazadeh, (Koç University, Turkey) 07/05
  2. Nick Mavromatos, (King’s College, Uni. of London, UK) 14/05
  3. Phillip Mannheim, (University of Connecticut, US) 21/05
  4. Fabio Bagarello, (University of Palermo, Italy) 04/06
  5. Dorje Brody, (University of Surrey, UK) 18/06
  6. Savannah Garmon, (Osaka Prefecture University, Japan) 02/07
  7. Yogesh Joglekar, (Indiana Uni. Purdue University, US) 16/07
  8. Andrei Smilga, (University of Nantes, France) 23/07
  9. Eva-Maria Graefe, (Imperial College London, UK) 30/07
  10. Avadh Saxena, (Los Alamos National Laboratory, US) 13/08
  11. Li Ge, (City University of New York, US) 20/08
  12. Carl Bender, (Washington University in St. Louis, US) 27/08
  13. Vladimir Konotop, (Universidade de Lisboa, Portugal) 10/09
  14. Joshua Feinberg, (University of Haifa and Technion, Israel) 24/09
  15. Bhabani Prasad Mandal, (BHU, Varanasi, India) 08/10
  16. Stéphane Boris Tabeu, (University of Yaounde, Cameroon) 15/10
  17. Naomichi Hatano, (University of Tokyo, Japan) 22/10
  18. Stefan Rotter, (Vienna University of Technology, Austria) 05/11
  19. Maxim Chernodub, (Inst Denis Poisson, CNRS, France) 12/11
  20. Pijush Ghosh, (Siksha-Bhavana, Visva-Bharati, India) 19/11
  21. Mikhail Plyushchay, (Universidad de Santiago, Chile) 03/12
  22. Qing-hai Wang, (National Univ. of Singapore, Singapore) 17/12
  23. Gonzalo Muga, (University of the Basque Country, Spain) 14/01
  24. Stella Schindler, (Massachusetts Institute of Technology, US) 21/01
  25. Miloslav Znojil, (Nucl. Phys. Inst. of the AS, Czech Republic) 28/01
  26. Roman Riser, (University of Haifa, Israel) 11/02
  27. Duncan O’Dell, (McMaster University, Canada) 25/02
  28. Mustapha Maamache, (Ferhat Abbas University, Algeria) 11/03
  29. Andreas Ruschhaupt, (University College Cork, Ireland) 01/04
  30. Hamidreza Ramezani, (Univ. of Texas Rio Grande Valley, US) 08/04
  31. Andreas Fring, (City, University of London, UK) 22/04
  32. Andrew Harter, (University of Tokyo, Japan) 06/05
  33. Özlem Yeşiltaş, (Gazi University, Turkey) 20/05
  34. Iveta Semorádová, (Czech Techn. Univ. Prague, Czech Republic) 03/06
  35. Hugh Jones, (Imperial College London, UK) 17/06
  36. Marta Reboiro (University of La Plata, Argentina) 01/07