Leading large N modification of QCD2 on a cylinder by dynamical fermions |
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| Institution: | 1. National Research University Higher School of Economics, Russian Federation;2. Institute of Biochemical Physics of Russian Academy of Sciences, Kosygina str. 4, 119334, Moscow, Russian Federation;3. Skolkovo Institute of Science and Technology, 143026 Moscow, Russian Federation;4. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow, Russian Federation;5. ITEP, B. Cheremushkinskaya 25, Moscow 117218, Russian Federation;6. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, Moscow region, 141700, Russian Federation;1. LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay Cedex, France;2. Department of Physics, City College of New York, NY 10038, USA;1. Saha Institute of Nuclear Physics, HBNI, 1/AF Bidhannagar, Kolkata-700064, India;2. Department of Physics, Banaras Hindu University, Varanasi-221005, India;3. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata-700108, India;1. Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, D14476 Potsdam, Germany;2. Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Grossen Windkanal 6, D12489 Berlin, Germany;3. Institute of Radiation Problems ANAS, B.Vahabzade 9, AZ1143 Baku, Azerbaijan;4. Department of Mathematics, Khazar University, Mehseti St. 41, AZ1096, Baku, Azerbaijan;5. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-412 96 Göteborg, Sweden |
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| Abstract: | We consider two-dimensional QCD on a cylinder, where space is a circle. We find the ground state of the system in case of massless quarks in a 1/Nexpansion. We find that coupling to fermions nontrivially modifies the large N saddle point of the gauge theory due to the phenomenon of “decompactification” of eigenvalues of the gauge field. We calculate the vacuum energy and the vacuum expectation value of the Wilson loop operator both of which show a nontrivial dependence on the number of quarks flavours at the leading order in 1/N. |
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