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We consider several spin-unrestricted random-phase approximation (RPA) variants for calculating correlation energies, with and without range separation, and test them on datasets of atomization energies and reaction barrier heights. We show…

Chemical Physics · Physics 2016-03-01 Bastien Mussard , Peter Reinhardt , Janos Angyan , Julien Toulouse

The Nekrasov-Shatashvili limit for the low-energy behavior of N=2 and N=2* supersymmetric SU(2) gauge theories is encoded in the spectrum of the Mathieu and Lam'e equations, respectively. This correspondence is usually expressed via an…

High Energy Physics - Theory · Physics 2015-09-01 Gokce Basar , Gerald V. Dunne

At energies ($\sqrt{s}$) much higher than the electroweak gauge boson masses ($M$) large logarithmic corrections of the scale ratio $\sqrt{s}/M$ occur. While the electroweak Sudakov type double (DL) and universal single (SL) logarithms have…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael Melles

We present two efficient and intruder-free methods for treating dynamic correlation on top of general multi-configuration reference wave functions---including such as obtained by the density matrix renormalization group (DMRG) with large…

Chemical Physics · Physics 2016-09-13 Sandeep Sharma , Gerald Knizia , Sheng Guo , Ali Alavi

We have developed a perturbative method to model the resonant ionization of atomic systems in fluctuating laser fields. The perturbative method is based on an expansion in terms of the multitime cumulants, a suitable combination of moments…

Atomic Physics · Physics 2020-11-25 Tejaswi Katravulapally , L. A. A. Nikolopoulos

We present a scalable single-particle framework to treat electronic correlation in molecules and materials motivated by Green's function theory. We derive a size-extensive Brillouin-Wigner perturbation theory from the single-particle…

Chemical Physics · Physics 2023-09-12 Christopher J. N. Coveney , David P. Tew

We apply the renormalized singles (RS) Green's function in the Bethe-Salpeter equation (BSE)/$GW$ approach to predict accurate neutral excitation energies of molecular systems. The BSE calculations are performed on top of the…

Chemical Physics · Physics 2022-10-26 Jiachen Li , Dorothea Golze , Weitao Yang

The exponential computational cost of describing strongly correlated electrons can be mitigated by adopting a reduced density-matrix (RDM)-based description of the electronic structure. While variational two-electron RDM (v2RDM) methods can…

Chemical Physics · Physics 2026-01-06 Grier M. Jones , Run. R. Li , A. Eugene DePrince , Konstantinos D. Vogiatzis

We revisit the electric dipole moments (EDMs) of quarks and leptons in the Minimal Supersymmetric Standard Model (MSSM) with trilinear $R$-parity violation (RPV). In this framework, EDMs are induced at the two-loop level via RPV…

High Energy Physics - Phenomenology · Physics 2026-02-02 Wolfgang Altmannshofer , P. S. Bhupal Dev , Amarjit Soni , Fang Xu

We study Radiative Electroweak Symmetry Breaking in the Minimal Supersymmetric Standard Model (MSSM). We employ the 2-loop Renormalization Group equations for running masses and couplings taking into account sparticle threshold effects. The…

High Energy Physics - Phenomenology · Physics 2009-09-24 A. Dedes , A. B. Lahanas , K. Tamvakis

The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p^6) for chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Bijnens , G. Colangelo , G. Ecker

The lowest energy levels of positronium are studied in the non-relativistic approximation within the framework of Relativistic Schr\"odinger Theory (RST). Since it is very difficult to find the exact solutions of the RST field equations…

High Energy Physics - Theory · Physics 2008-07-11 M. Mattes , M. Sorg

We present a novel and cost-effective approach of using a second similarity transformation of the Hamiltonian to include the missing higher-order terms in the second-order approximate coupled cluster singles and doubles (CC2) model. The…

Chemical Physics · Physics 2022-01-26 Soumi Haldar , Achintya Kumar Dutta

Exchange-correlation potentials vxc and energy densities exc are derived for integer and fractional electron counts using an orbital-averaged Kohn-Sham inversion procedure. The reference densities for inversion come from full configuration…

Chemical Physics · Physics 2025-04-30 Vaibhav Khanna , Bikash Kanungo , Jeffrey Hatch , Joshua Kammeraad , Paul M. Zimmerman

We report the development of the theory and computer program for analytical nuclear energy gradients for (extended) multi-state complete active space perturbation theory (CASPT2) with full internal contraction. The vertical shifts are also…

Chemical Physics · Physics 2017-03-20 Bess Vlaisavljevich , Toru Shiozaki

We analyze the statistical mechanics of a free-standing quantum crystalline membrane within the framework of a systematic perturbative renormalization group (RG). A power-counting analysis shows that the leading singularities of correlation…

Statistical Mechanics · Physics 2022-06-01 Achille Mauri , Mikhail I. Katsnelson

We develop and implement a formalism which enables calculating the analytical gradients of particle-hole random-phase approximation (RPA) ground-state energy with respect to the atomic positions within the atomic orbital basis set…

Chemical Physics · Physics 2021-09-03 Muhammad N. Tahir , Tong Zhu , Honghui Shang , Jia Li , Volker Blum , Xinguo Ren

A fully self-consistent renormalized random-phase approximation is constructed based on the self-consistent Hartree-Fock mean field plus exact pairing solutions (EP). This approach exactly conserves the particle number and restores the…

Nuclear Theory · Physics 2019-06-06 L. Tan Phuc , N. Quang Hung , N. Dinh Dang

Using high-resolution angle-resolved photoemission spectroscopy on $Bi_{2}Sr_{2}CaCu_{2}O_{8+\delta}$, we have made the first observation of a mass renormalization or "kink" in the E vs. $\vec k$ dispersion relation localized near $(\pi,…

The dynamical effects of ground state correlations for excitation energies and transition strengths near the superfluid phase transition are studied in the soluble two level pairing model, in the context of the particle-particle self…

Nuclear Theory · Physics 2008-11-26 E. J. V. de Passos , A. F. R. de Toledo Piza , F. Krmpotić