Results 41 to 50 of about 2,214 (215)
Renormalization of the Regularized Relativistic Electron-Positron Field [PDF]
Communications in Mathematical Physics, 2000 11 pages ...
Lieb, Elliott H., Siedentop, Heinz
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, 2018 We present the dimensional regularization approach to the renormalization group theory of the generalized sine-Gordon model. The generalized sine-Gordon model means the sine-Gordon model with high frequency cosine modes.
Takashi Yanagisawa
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BIDUAL OCTAHEDRAL RENORMINGS AND STRONG REGULARITY IN BANACH SPACES [PDF]
Journal of the Institute of Mathematics of Jussieu, 2019 AbstractWe prove that every separable Banach space containing an isomorphic copy of $\ell _{1}$ can be equivalently renormed so that the new bidual norm is octahedral. This answers, in the separable case, a question in Godefroy [Metric characterization of first Baire class linear forms and octahedral norms, Studia Math.95 (1989), 1–15].
Johann Langemets, Ginés López-Pérez
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Exact Schwinger Proper Time Renormalisation
Journal of High Energy PhysicsWe derive an exact version of the Schwinger Proper Time Renormalisation Group flow equation from first principles from the complete path integral, without using any perturbative expansion.
Steven Abel, Lucien Heurtier
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Exact result in N $$ \mathcal{N} $$ = 4 SYM theory: generalised double-logarithmic equation
Journal of High Energy Physics, 2022 We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-loop anomalous dimension of twist-2 operators in the planar N $$ \mathcal{N} $$ = 4 SYM theory.
V. N. Velizhanin
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Advanced Science, EarlyView.Bulk and genotype‐imputed transcriptomes obscure the cellular drivers of complex disease. CausalCellInfer resolves them by integrating invariant marker selection, deep learning deconvolution, and regularized matrix completion. Applied to ∼500 000 UK Biobank participants across 29 traits, it uncovers hallmark cell‐type proportion shifts, including ...
Liangying Yin +6 more
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Sphere free energy of scalar field theories with cubic interactions
Journal of High Energy PhysicsThe 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 +4 more
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Advanced Physics Research, EarlyView.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
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SYMMETRY-PRESERVING LOOP REGULARIZATION AND RENORMALIZATION OF QFTs [PDF]
Modern Physics Letters A, 2004 A new symmetry-preserving loop regularization method proposed in Ref. 1 is further investigated. It is found that its prescription can be understood by introducing a regulating distribution function to the proper-time formalism of irreducible loop integrals.
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Journal of Raman Spectroscopy, EarlyView.Common‐mode rejection (CMR) is introduced as a physics‐motivated preprocessing method for shifted excitation Raman difference spectroscopy (SERDS) that removes the shared background of paired measurements while preserving the noncommon excitation‐dependent component. Applied to more than 900 North American soil samples, CMR improves soil organic carbon
Mahsa Zarei +4 more
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