The lowest Landau level in QCD
The thermodynamics of Quantum Chromodynamics (QCD) in external (electro-)magnetic fields shows some unexpected features like inverse magnetic catalysis, which have been revealed mainly through lattice studies. Many effective descriptions, on the other hand, use Landau levels or approximate the syste...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2017-01-01
|
| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201713703003 |
| _version_ | 1830103294914068480 |
|---|---|
| author | Bruckmann Falk Endrődi Gergely Giordano Matteo Katz Sándor D. Kovács Tamás G. Pittler Ferenc Wellnhofer Jacob |
| author_facet | Bruckmann Falk Endrődi Gergely Giordano Matteo Katz Sándor D. Kovács Tamás G. Pittler Ferenc Wellnhofer Jacob |
| author_sort | Bruckmann Falk |
| collection | DOAJ |
| description | The thermodynamics of Quantum Chromodynamics (QCD) in external (electro-)magnetic fields shows some unexpected features like inverse magnetic catalysis, which have been revealed mainly through lattice studies. Many effective descriptions, on the other hand, use Landau levels or approximate the system by just the lowest Landau level (LLL). Analyzing lattice configurations we ask whether such a picture is justified. We find the LLL to be separated from the rest by a spectral gap in the two-dimensional Dirac operator and analyze the corresponding LLL signature in four dimensions. We determine to what extent the quark condensate is LLL dominated at strong magnetic fields. |
| first_indexed | 2024-12-16T21:28:48Z |
| format | Article |
| id | doaj.art-30f23dda7974472fa5dba9c6cf1cb41a |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-16T21:28:48Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-30f23dda7974472fa5dba9c6cf1cb41a2022-12-21T22:15:38ZengEDP SciencesEPJ Web of Conferences2100-014X2017-01-011370300310.1051/epjconf/201713703003epjconf_conf2017_03003The lowest Landau level in QCDBruckmann Falk0Endrődi Gergely1Giordano Matteo2Katz Sándor D.3Kovács Tamás G.4Pittler Ferenc5Wellnhofer Jacob6Universität Regensburg, Institut für Theoretische Physik, Universitätsstraße 31Institute for Theoretical Physics, Goethe UniversityInstitute for Theoretical Physics, Eötvös University, and MTA-ELTE Lattice Gauge Theory Research GroupInstitute for Theoretical Physics, Eötvös University, and MTA-ELTE Lattice Gauge Theory Research GroupInstitute for Nuclear Research of the Hungarian Academy of SciencesHISKP (Theory), University of BonnUniversität Regensburg, Institut für Theoretische Physik, Universitätsstraße 31The thermodynamics of Quantum Chromodynamics (QCD) in external (electro-)magnetic fields shows some unexpected features like inverse magnetic catalysis, which have been revealed mainly through lattice studies. Many effective descriptions, on the other hand, use Landau levels or approximate the system by just the lowest Landau level (LLL). Analyzing lattice configurations we ask whether such a picture is justified. We find the LLL to be separated from the rest by a spectral gap in the two-dimensional Dirac operator and analyze the corresponding LLL signature in four dimensions. We determine to what extent the quark condensate is LLL dominated at strong magnetic fields.https://doi.org/10.1051/epjconf/201713703003 |
| spellingShingle | Bruckmann Falk Endrődi Gergely Giordano Matteo Katz Sándor D. Kovács Tamás G. Pittler Ferenc Wellnhofer Jacob The lowest Landau level in QCD EPJ Web of Conferences |
| title | The lowest Landau level in QCD |
| title_full | The lowest Landau level in QCD |
| title_fullStr | The lowest Landau level in QCD |
| title_full_unstemmed | The lowest Landau level in QCD |
| title_short | The lowest Landau level in QCD |
| title_sort | lowest landau level in qcd |
| url | https://doi.org/10.1051/epjconf/201713703003 |
| work_keys_str_mv | AT bruckmannfalk thelowestlandaulevelinqcd AT endrodigergely thelowestlandaulevelinqcd AT giordanomatteo thelowestlandaulevelinqcd AT katzsandord thelowestlandaulevelinqcd AT kovacstamasg thelowestlandaulevelinqcd AT pittlerferenc thelowestlandaulevelinqcd AT wellnhoferjacob thelowestlandaulevelinqcd AT bruckmannfalk lowestlandaulevelinqcd AT endrodigergely lowestlandaulevelinqcd AT giordanomatteo lowestlandaulevelinqcd AT katzsandord lowestlandaulevelinqcd AT kovacstamasg lowestlandaulevelinqcd AT pittlerferenc lowestlandaulevelinqcd AT wellnhoferjacob lowestlandaulevelinqcd |