scholarly journals Transmutation of nonlocal scale in infinite derivative field theories

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Luca Buoninfante ◽  
Anish Ghoshal ◽  
Gaetano Lambiase ◽  
Anupam Mazumdar
2020 ◽  
Vol 17 (supp01) ◽  
pp. 2040009
Author(s):  
Luca Buoninfante ◽  
Gaetano Lambiase ◽  
Masahide Yamaguchi

We consider the possibility to enlarge the class of symmetries realized in standard local field theories by introducing infinite order derivative operators in the actions, which become nonlocal. In particular, we focus on the Galilean shift symmetry and its generalization in nonlocal (infinite derivative) field theories. First, we construct a nonlocal Galilean model which may be UV finite, showing how the ultraviolet behavior of loop integrals can be ameliorated. We also discuss the pole structure of the propagator which has infinitely many complex conjugate poles, but satisfies tree level unitarity. Moreover, we will introduce the same kind of nonlocal operators in the context of linearized gravity. In such a scenario, the graviton propagator turns out to be ghost-free and the spacetime metric generated by a point-like source is non-singular.


Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor

The motivation for supersymmetry. The algebra, the superspace, and the representations. Field theory models and the non-renormalisation theorems. Spontaneous and explicit breaking of super-symmetry. The generalisation of the Montonen–Olive duality conjecture in supersymmetric theories. The remarkable properties of extended supersymmetric theories. A brief discussion of twisted supersymmetry in connection with topological field theories. Attempts to build a supersymmetric extention of the standard model and its experimental consequences. The property of gauge supersymmetry to include general relativity and the supergravity models.


Author(s):  
Marjorie Levinson

The Introduction explains the combination of a narrative arc and conceptual structure in the organization of the book. The former, primarily diachronic, discussion is concerned with the development of the field of Romanticism since the 1980s, presented through both a review of scholarship and exemplary readings of well-known lyric poems. The latter, predominantly synchronic, presentation entails an argument for the analytical value of field theories of form—that is, frameworks drawn from early modern philosophy (Spinoza) and postclassical life- and physical sciences, especially models of self-organization. As an alternative to the external, retrospective perspective provided by, for example, Rita Felski in The Limits of Critique, it draws on the work of Martin Heidegger, Pierre Macherey, and the poet-critic J. H. Prynne to offer a conjunctural approach.


Author(s):  
Daniel Canarutto

This monograph addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a not-too-short, integrated approach that exploits standard and non-standard notions in natural geometric language. The role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. Two-spinors yield a partly original ‘minimal geometric data’ approach to Einstein-Cartan-Maxwell-Dirac fields. The gravitational field is jointly represented by a spinor connection and by a soldering form (a ‘tetrad’) valued in a vector bundle naturally constructed from the assumed 2-spinor bundle. We give a presentation of electroweak theory that dispenses with group-related notions, and we introduce a non-standard, natural extension of it. Also within the 2-spinor approach we present: a non-standard view of gauge freedom; a first-order Lagrangian theory of fields with arbitrary spin; an original treatment of Lie derivatives of spinors and spinor connections. Furthermore we introduce an original formulation of Lagrangian field theories based on covariant differentials, which works in the classical and quantum field theories alike and simplifies calculations. We offer a precise mathematical approach to quantum bundles and quantum fields, including ghosts, BRST symmetry and anti-fields, treating the geometry of quantum bundles and their jet prolongations in terms Frölicher's notion of smoothness. We propose an approach to quantum particle physics based on the notion of detector, and illustrate the basic scattering computations in that context.


1987 ◽  
Vol 195 (2) ◽  
pp. 202-208 ◽  
Author(s):  
Francesco Ravanini ◽  
Sung-Kil Yang

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