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We introduce a novel \abinitio many-body method designed to compute the properties of nuclei in the continuum. This approach combines well-established techniques, namely the Complex Scaling (CS) and Similarity Renormalization Group (SRG)…

Nuclear Theory · Physics 2025-07-03 Osama Yaghi , Guillaume Hupin , Petr Navrátil

We show that it is essential to include renormalisation group (RG) effects for determining the SMEFT parameter space consistent with the CDF W-mass anomaly at the matching scale. This is because operators that are only weakly…

High Energy Physics - Phenomenology · Physics 2022-04-29 Rick S. Gupta

Precision tests of the Standard Model and searches for beyond the Standard Model physics often require nuclear structure input. There has been a tremendous progress in the development of nuclear ab initio techniques capable of providing…

Nuclear Theory · Physics 2022-01-05 Petr Navratil

The past two decades have seen a revolution in ab initio calculations of nuclear properties. One key element has been the development of a rigorous effective interaction theory, applying unitary transformations to soften the nuclear…

We introduce a versatile and practical framework for applying matrix product state techniques to continuous quantum systems. We divide space into multiple segments and generate continuous basis functions for the many-body state in each…

Quantum Gases · Physics 2022-06-09 Shovan Dutta , Anton Buyskikh , Andrew J. Daley , Erich J. Mueller

We clarify the notion of Wilsonian renormalization group (RG) invariance in supersymmetric gauge theories, which states that the low-energy physics can be kept fixed when one changes the ultraviolet cutoff, provided appropriate changes are…

High Energy Physics - Theory · Physics 2016-09-06 Nima Arkani-Hamed , Hitoshi Murayama

We investigate how the Unitary Correlation Operator Method (UCOM), developed to explicitly describe the strong short-range central and tensor correlations present in the nuclear many-body system, relates to the Similarity Renormalization…

Nuclear Theory · Physics 2008-11-26 H. Hergert , R. Roth

We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear many-body problem. These methods use continuous unitary transformations to…

Nuclear Theory · Physics 2017-06-28 H. Hergert , S. K. Bogner , J. G. Lietz , T. D. Morris , S. J. Novario , N. M. Parzuchowski , F. Yuan

We review the role played by long-distance symmetries within the context of the similarity renormalization group approach. This is based on phase-shift-preserving continuous unitary transformations that evolve Hamiltonians with a cutoff on…

Nuclear Theory · Physics 2013-02-19 E. Ruiz Arriola , V. S. Timoteo , S. Szpigel

Efforts to describe nuclear structure and dynamics from first principles have advanced significantly in recent years. Exact methods for light nuclei are now able to include continuum degrees of freedom and treat structure and reactions on…

Consider $N\times N$ symmetric one-dimensional random band matrices with general distribution of the entries and band width $W \geq N^{3/4+\varepsilon}$ for any $\varepsilon>0$. In the bulk of the spectrum and in the large $N$ limit, we…

Probability · Mathematics 2018-07-05 Paul Bourgade , Horng-Tzer Yau , Jun Yin

Nucleon momentum distributions calculated with a common one-body operator vary with the resolution scale (and scheme) of the Hamiltonian used. For high-resolution potentials such as Argonne $v_{18}$ (AV18) there is a high-momentum tail,…

Nuclear Theory · Physics 2024-04-12 A. J. Tropiano , S. K. Bogner , R. J. Furnstahl , M. A. Hisham , A. Lovato , R. B. Wiringa

The functional renormalisation group (fRG) has evolved into a versatile tool in condensed matter theory for studying important aspects of correlated electron systems. Practical applications of the method often involve a high numerical…

Computational Physics · Physics 2016-09-21 Daniel Rohe

Nuclear interactions evolved via renormalization group methods to lower resolution become increasingly non-local (off-diagonal in coordinate space) as they are softened. This inhibits both the development of intuition about the interactions…

Nuclear Theory · Physics 2013-05-30 K. A. Wendt , R. J. Furnstahl , S. Ramanan

Internucleon interactions evolved via flow equations yield soft potentials that lead to rapid variational convergence in few-body systems.

Nuclear Theory · Physics 2009-01-16 R. J. Furnstahl

Quantum field theories require a cutoff to regulate divergences that result from local interactions, and yet physical results can not depend on the value of this cutoff. The renormalization group employs a transformation that changes the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergio Szpigel , Robert J. Perry

The renormalization-group improved effective potential ---to leading-log and in the linear curvature approximation--- is constructed for ``finite'' theories in curved spacetime. It is not trivial and displays a quite interesting,…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

Strongly Correlated Electrons · Physics 2016-07-05 Robert M. Konik , Yury Adamov

Unitarity is a fundamental property of any theory required to ensure we work in a theoretically consistent framework. In comparison with the quark sector, experimental tests of unitarity for the 3x3 neutrino mixing matrix are considerably…

High Energy Physics - Phenomenology · Physics 2016-06-22 Stephen Parke , Mark Ross-Lonergan

The conceptual framework provided by the functional Renormalization Group (fRG) has become a formidable tool to study correlated electron systems on lattices which, in turn, provided great insights to our understanding of complex many-body…

Computational Engineering, Finance, and Science · Computer Science 2016-11-02 Julian Lichtenstein , Jan Winkelmann , David Sánchez de la Peña , Toni Vidović , Edoardo Di Napoli