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The functional renormalization group equation is expanded to a two-loop form. This two-loop form equation involves one-loop effective action. An intermediate effective action perspective is adopted toward the one-loop effective action. That…

High Energy Physics - Theory · Physics 2013-10-30 Ming-Fan Li , Mingxing Luo

In this work we discuss the effect of the quartic fermion self-interaction of Thirring type in QED in D=2 and D=3 dimensions. This is done through the computation of the effective action up to quadratic terms in the photon field. We analyze…

High Energy Physics - Theory · Physics 2009-11-07 E. M. C. Abreu , D. Dalmazi , A. de Souza Dutra , Marcelo Hott

It is shown that Wen's effective theory correctly describes the Tomonaga-Luttinger liquid at the edge of a system of non-interacting composite fermions. However, the weak residual interaction between composite fermions appears to be a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , Jainendra K. Jain

Quantum dot hybrid qubits formed from three electrons in double quantum dots represent a promising compromise between high speed and simple fabrication for solid state implementations of single qubit and two qubits quantum logic ports. We…

Quantum Physics · Physics 2018-09-05 E. Ferraro , M. De Michielis , G. Mazzeo , M. Fanciulli , E. Prati

A Hamiltonian based approach using spatially localized projection operators is introduced to give precise meaning to the chemically intuitive idea of the electronic energy on a quantum subsystem. This definition facilitates the study of…

Quantum Physics · Physics 2015-06-11 Yaser R. Khan , Paul Brumer

The effective electroweak Hamiltonian in the gradient-flow formalism is constructed for the current-current operators through next-to-next-to-leading order QCD. The results are presented for two common choices of the operator basis. This…

High Energy Physics - Lattice · Physics 2023-03-14 Robert V. Harlander , Fabian Lange

The chiral Abelian Higgs model is studied at finite temperature. By integrating out the heavy modes, we make a three-dimensional effective theory for the static modes. It is demonstrated that the plasma masses are correctly reproduced to…

High Energy Physics - Phenomenology · Physics 2016-09-01 Jens O. Andersen

We develop methods to calculate the electroweak gauge boson contribution to the effective Higgs potential in the context of composite Higgs models, using lattice gauge theory. The calculation is analogous to that of the electromagnetic mass…

High Energy Physics - Lattice · Physics 2016-09-14 T. A. DeGrand , M. Golterman , W. I. Jay , E. T. Neil , Y. Shamir , B. Svetitsky

We consider derivation of the effective potential for a scalar field in curved space-time within the physical regularization scheme, using two sorts of covariant cut-off regularizations. The first one is based on the local momentum…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Flavia Sobreira , Baltazar J. Ribeiro , Ilya L. Shapiro

The optimized effective potential (OEP) method allows for calculation of the local, effective single particle potential of density functional theory for explicitly orbital-dependent approximations to the exchange-correlation energy…

Materials Science · Physics 2015-06-25 P. Sule , S. Kurth , V. Van Doren

We show that the compositeness condition for the induced gauge boson in the four-fermion interaction theory actually works beyond the one-loop approximation. The next-to-leading contributions are calculated, and turn out to be reasonably…

High Energy Physics - Phenomenology · Physics 2014-11-17 Keiichi Akama , Takashi Hattori

In this and subsequent paper arXiv:1011.5185 we develop a recursive approach for calculating the short-time expansion of the propagator for a general quantum system in a time-dependent potential to orders that have not yet been accessible…

Statistical Mechanics · Physics 2011-08-09 Antun Balaz , Ivana Vidanovic , Aleksandar Bogojevic , Aleksandar Belic , Axel Pelster

A new model of quantum computing has recently been proposed which, in analogy with a classical lambda-calculus, exploits quantum processes which operate on other quantum processes. One such quantum meta-operator takes N unitary…

Quantum Physics · Physics 2016-06-17 Timothy Rambo , Joseph Altepeter , Giacomo Mauro D'Ariano , Prem Kumar

We estimate the composite fermion effective mass for a general two particle potential r^{-\alpha} using exact diagonalization for polarized electrons in the lowest Landau level on a sphere. Our data for the ground state energy at filling…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Uwe Girlich , Meik Hellmund

We calculate for the first time the static properties of the deuteron, within the framework of supersymmetric quantum mechanics, analytically. A new effective potential and its partner are derived from a superpotential so that all…

Nuclear Theory · Physics 2021-09-27 Taha Koohrokhi , Sehban Kartal

We outline a proposal, based on the Heat-Kernel method, to compute 1PI effective action up to any loop order for quantum field theory with scalar and fermion fields. We algebraically extract the divergences associated with the composite…

High Energy Physics - Theory · Physics 2024-04-04 Upalaparna Banerjee , Joydeep Chakrabortty , Kaanapuli Ramkumar

Fixing the number of particles $N$, the quantum canonical ensemble imposes a constraint on the occupation numbers of single-particle states. The constraint particularly hampers the systematic calculation of the partition function and any…

Statistical Mechanics · Physics 2016-12-23 Wim Magnus , Fons Brosens

We propose an effective exponent ruling the algebraic decay of the average quantum return probability for discrete Schrodinger operators. We compute it for some non-periodic substitution potentials with different degrees of randomness, and…

Condensed Matter · Physics 2009-10-31 Cesar R. de Oliveira , Giancarlo Q. Pellegrino

In this paper, we compute the constrained QCD effective potential up to two-loop order with finite quark mass and chemical potential. We present the explicit calculations by using the double line notation and analytical expressions for…

High Energy Physics - Phenomenology · Physics 2019-05-14 Yun Guo , Qianqian Du

For exchange-correlation functionals that depend explicitly on the Kohn-Sham orbitals, the potential $V_{\mathrm{xc}\sigma}(\re)$ must be obtained as the solution of the optimized effective potential (OEP) integral equation. This is very…

Materials Science · Physics 2009-11-07 Stephan Kümmel , John P. Perdew