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We establish the renormalization group equation for the running action in the context of a one quantum particle system. This equation is deduced by integrating each fourier mode after the other in the path integral formalism. It is free of…

Quantum Physics · Physics 2009-11-06 P. Gosselin , H. mohrbach

We investigate a new ``renormalization invariant analytic formulation'' of calculations in quantum chromodynamics, where the renormalization group summation is correlated with the analyticity with respect to the square of the transferred…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. L. Solovtsov , D. V. Shirkov

Direct photon production from a longitudinally expanding quark-gluon plasma (QGP) at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) energies is studied with a real-time kinetic description that is consistently…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shang-Yung Wang , Daniel Boyanovsky , Kin-Wang Ng

The density-matrix renormalization-group (DMRG) algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla , J. B. Marston

Using a real-time renormalization group method we study the minimal model of a quantum dot dominated by charge fluctuations, the two-lead interacting resonant level model, at finite bias voltage. We develop a set of RG equations to treat…

Strongly Correlated Electrons · Physics 2012-11-26 S. Andergassen , M. Pletyukhov , D. Schuricht , H. Schoeller , L. Borda

We present for the first time the nonlinear dynamics of quantum electrodynamic (QED) photon splitting in a strongly magnetized electron-positron (pair) plasma. By using a QED corrected Maxwell equation, we derive a set of equations that…

Astrophysics · Physics 2008-11-26 G. Brodin , M. Marklund , B. Eliasson , P. K. Shukla

We analyze the dissipative quantum tunneling in the Caldeira-Leggett model by the nonperturbative renormalization-group method. We classify the dissipation effects by introducing the notion of effective cutoffs. We calculate the…

Quantum Physics · Physics 2009-11-07 Ken-Ichi Aoki , Atsushi Horikoshi

We report on strong renormalization encountered in periodically driven interacting quantum dots in the non-adiabatic regime. Correlations between lead and dot electrons enhance or suppress the amplitude of driving depending on the sign of…

Strongly Correlated Electrons · Physics 2016-01-18 A. K. Eissing , V. Meden , D. M. Kennes

Non-equilibrium thermodynamics can provide strong advantages when compared to more standard equilibrium situations. Here, we present a general framework to study its application to concrete problems, which is valid also beyond the…

Quantum Physics · Physics 2023-03-16 Qiongyuan Wu , Matteo Carlesso

The real time evolution and relaxation of expectation values of quantum fields and of quantum states are computed as initial value problems by implementing the dynamical renormalization group (DRG).Linear response is invoked to set up the…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Boyanovsky , H. J. de Vega

In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass in its response to an external potential force. Specifically,…

Mathematical Physics · Physics 2018-03-28 Volker Bach , Thomas Chen , Jeremy Faupin , Juerg Froehlich , Israel Michael Sigal

We survey the recent progress made in understanding non equilibrium dynamics in closed random systems. The emphasis is on the important role played by concepts from quantum information theory and on the application of systematic…

Disordered Systems and Neural Networks · Physics 2015-09-21 Ehud Altman , Ronen Vosk

There has been rapid development of systems that yield strong interactions between freely propagating photons in one dimension via controlled coupling to quantum emitters. This raises interesting possibilities such as quantum information…

We analyze quantum mechanical systems using the non-perturbative renormalization group (NPRG). The NPRG method enables us to calculate quantum corrections systematically and is very effective for studying non-perturbative dynamics. We start…

Quantum Physics · Physics 2009-11-07 Ken-Ichi Aoki , Atsushi Horikoshi , Masaki Taniguchi , Haruhiko Terao

A new model to study the dynamics of relativistic quantum plasmas using the quantum electrodynamical (QED) approach has been constructed to analyze the quantum effects, relativistic corrections, and electromagnetic interactions. Considering…

Plasma Physics · Physics 2025-04-17 Priya Mishra , Punit Kumar

The renormalization group method has been adapted to the analysis of the long-time behavior of non-linear partial differential equation and has demonstrated its power in the study of critical phenomena of gravitational collapse. In the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Osamu Iguchi , Akio Hosoya , Tatsuhiko Koike

Quantum Heisenberg spin chains with random couplings and spin sizes are studied using a real-space renormalization group technique. These systems belong to a new universality class of disordered quantum spin systems realized in {\it e.g.}…

Condensed Matter · Physics 2009-10-28 E. Westerberg , A. Furusaki , M. Sigrist , P. A. Lee

As applied to quantum theories, the program of renormalization is successful for `renormalizable models' but fails for `nonrenormalizable models'. After some conceptual discussion and analysis, an enhanced program of renormalization is…

High Energy Physics - Theory · Physics 2009-05-01 John R. Klauder

We extend the concept of the functional renormalization for quantum many-body problems to non-equilibrium situations. Using a suitable generating functional based on the Keldysh approach, we derive a system of coupled differential equations…

Strongly Correlated Electrons · Physics 2013-05-29 R. Gezzi , Th. Pruschke , V. Meden

Quantum electrodynamics (QED) is studied in the framework of the exact (functional) renormalization group (ERG). This is done using an approach to these equations which employs dimensional regularization. Simultaneous solutions of the ERG…

High Energy Physics - Phenomenology · Physics 2025-07-03 Guillermo Hansen , Roberto Trinchero