Results 51 to 60 of about 35,501 (212)

Sphere free energy of scalar field theories with cubic interactions

Journal of High Energy Physics
The dimensional continuation approach to calculating the free energy of d-dimensional Euclidean CFT on the round sphere S d has been used to develop its 4 – ϵ expansion for a number of well-known non-supersymmetric theories, such as the O(N) model.
Simone Giombi, Elizabeth Himwich, Andrei Katsevich, Igor Klebanov, Zimo Sun   +4 more
doaj   +1 more source

Perturbative Renormalizations of Anyon Quantum Mechanics

, 1994
In bosonic end perturbative calculations for quantum mechanical anyon systems a regularization and renormalization procedure, analogous to those used in field theory, is necessary.
A. Comtet, A. Dasnieres de Veigy, A. Dasnieres de Veigy, A. Khare, A. Polychronakos, B. I. Halperin, C. Chou, C. Chou, C. Chou, C. Manuel, C. Manuel, Chihong Chou, D. Caenepeel, D. Sen, D. Sen, D. Sen, D. Z. Freedman, F. Wilczek, F. Wilczek, F. Wilczek, G. A. Goldin, G. A. Goldin, G. Amelino Camelia, G. Amelino Camelia, G. Amelino Camelia, G. Amelino Camelia, G. Lozano, G. V. Dunne, G. V. Dunne, Giovanni Amelino-Camelia, J. M. Leinaas, J. McCabe, J. Y. Kim, K. H. Cho, K. H. Cho, M. A. Valle Basagoiti, M. Bourdeau, M. Sporre, M. Sporre, M. V. N. Murthy, O. Bergman, P. de Sousa Gerbert, R. B. Laughlin, R. Jackiw, R. Jackiw, R. Jackiw, R. Jackiw, S. Mashkevich, S. Ouvry, Y. S. Wu   +49 more
core   +1 more source

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, Robert Seiringer   +3 more
wiley   +1 more source

Perturbative renormalization factors in domain-wall QCD with improved gauge actions [PDF]

, 2002
We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three- and four-quark ...
A. Ali Khan, A. Ali Khan, A. Ali Khan, D. Kaplan, D. Kaplan, G. T. Fleming, L. Wu, M. Lüscher, M. Lüscher, P. de Forcrand, P. Ginsparg, P. Weisz, P. Weisz, P. Weisz, R. Narayanan, S. Aoki, S. Aoki, S. Aoki, S. Aoki, S. Aoki, S. Sakai, Sinya Aoki, T. Izubuchi, T. Takaishi, V. Furman, Y. Iwasaki, Y. Iwasaki, Y. Kuramashi, Y. Shamir, Y. Taniguchi   +29 more
core   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Low-energy theorem revisited and OPE in massless QCD

Journal of High Energy Physics
We revisit a low-energy theorem (LET) of NSVZ type in SU(N) QCD with N f massless quarks derived in [1] by implementing it in dimensional regularization. The LET relates n-point correlators in the l.h.s.
Marco Bochicchio, Elisabetta Pallante
doaj   +1 more source

Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators

Journal of High Energy Physics, 2023
We present the renormalisation group running of the bosonic operators of the Standard Model effective field theory (SMEFT) by the Lepton Number Violating operators (LNVs) at 1-loop order up to O $$ \mathcal{O} $$ (v 4 /Λ4), with v ∼ 246 GeV as the ...
Supratim Das Bakshi, Álvaro Díaz-Carmona   +1 more
doaj   +1 more source

The exact renormalization group and dimensional regularization

International Journal of Modern Physics A, 2022
The exact renormalization group (ERG) is formulated implementing the decimation of degrees of freedom by means of a particular momentum integration measure. The definition of this measure involves a distribution that links this decimation process with the dimensional regularization technique employed in field theory calculations. Taking the dimension [
openaire   +2 more sources

Casimir Energy of the Universe and the Dark Energy Problem

, 2012
We regard the Casimir energy of the universe as the main contribution to the cosmological constant. Using 5 dimensional models of the universe, the flat model and the warped one, we calculate Casimir energy.
Bredberg I, Dirac P A M, Feynman R P, Feynman R P, G 'tHooft, Ichinose S, Ichinose S, Ichinose S, Ichinose S, Ichinose S, Ichinose S, Ichinose S, Ichinose S, Ichinose S, Lysov V, Padmanabhan T, Polyakov A M, Randall L, Shoichi Ichinose, Witten E, Yoneya T   +20 more
core   +1 more source

Dimensional versus cut-off renormalization and the nucleon-nucleon interaction [PDF]

, 1998
The role of dimensional regularization is discussed and compared with that of cut-off regularization in some quantum mechanical problems with ultraviolet divergence in two and three dimensions with special emphasis on the nucleon-nucleon interaction ...
Angsula Ghosh, B. Talukdar, C. F. de Araujo, Jr., C. G. Bollini, C. G. Bollini, C. Manuel, C. Ordonéz, D. B. Kaplan, D. B. Kaplan, D. R. Phillips, D. R. Phillips, E. Witten, G. Amelino-Camelia, G. Amelino-Camelia, G. ’t Hooft, K. A. Scaldeferri, K. G. Wilson, L. H. Ryder, L. R. Mead, M. A. B. Beg, M. E. Peskin, M. Luke, P. Bedaque, P. Ramond, R. D. Amado, R. Jackiw, S. K. Adhikari, S. K. Adhikari, S. K. Adhikari, S. K. Adhikari, S. K. Adhikari, S. K. Adhikari, S. Weinberg, S. Weinberg, S. Weinberg, S. Weinberg, Sadhan K. Adhikari, T. D. Cohen, T. J. Fields   +38 more
core   +3 more sources