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Author: Kitran Macey M. Colwell
Publisher: Springer
ISBN: 3319673920
Category : Science
Languages : en
Pages : 116
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Book Description
This book develops two exciting areas of particle physics research. It applies the recent new insights about the usefulness of helicity amplitudes in understanding gauge theory to the long-standing effort to understand theories with both electric and magnetic charges. It is known that for some supersymmetric theories there is an exact duality that relates two descriptions of the physics, one where the electric charges are weakly coupled and another where the electric charges are strongly coupled. The calculations in this thesis suggest that this duality can also hold in the low-energy limit of nonsupersymmetric gauge theories. The idea of addressing the hierarchy problem of the standard model Higgs mechanism using conformal symmetry is also explored. Analogously to “Little Higgs” models, where divergences are cancelled only at one-loop order, models are studied that have infrared conformal fixed points which related gauge and Yukawa couplings, allowing for a cancellation between seemingly unrelated quantum loop diagrams.
Author: Kitran Macey M. Colwell
Publisher: Springer
ISBN: 3319673920
Category : Science
Languages : en
Pages : 116
Get Book Here
Book Description
This book develops two exciting areas of particle physics research. It applies the recent new insights about the usefulness of helicity amplitudes in understanding gauge theory to the long-standing effort to understand theories with both electric and magnetic charges. It is known that for some supersymmetric theories there is an exact duality that relates two descriptions of the physics, one where the electric charges are weakly coupled and another where the electric charges are strongly coupled. The calculations in this thesis suggest that this duality can also hold in the low-energy limit of nonsupersymmetric gauge theories. The idea of addressing the hierarchy problem of the standard model Higgs mechanism using conformal symmetry is also explored. Analogously to “Little Higgs” models, where divergences are cancelled only at one-loop order, models are studied that have infrared conformal fixed points which related gauge and Yukawa couplings, allowing for a cancellation between seemingly unrelated quantum loop diagrams.
Author: Kitran Macey M. Colwell
Publisher:
ISBN: 9781369202144
Category :
Languages : en
Pages :
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Book Description
Historically, the theory of monopoles and dyons has been plagued with nonlocality and broken Lorentz covariance, leading to difficulty in calculations of amplitudes involving magnetic currents. We present the Zwanziger two-gauge formalism that addresses these problems, and use spinor helicity methods to extract results in dyon-dyon and light-light scattering. Furthermore, we examine interacting Abelian theories at low energies and show that holomorphically normalized photon helicity amplitudes transform into dual amplitudes under SL(2,Z) as modular forms with weights that depend on the external photon helicities and the number of internal photon lines. Even though the amplitudes are not duality invariant, their squares are; we explicitly verify the duality transformation at one loop by comparing the amplitudes of an electron and the dyon that is its SL(2,Z) image, and extend the invariance of squared amplitudes order by order in perturbation theory. We demonstrate that S-duality is a property of all low-energy effective Abelian theories with electric and/or magnetic charges and see how the duality generically breaks down at high energies. A brief discussion of dualities, the Zwanziger formalism, and the spinor helicity method is also presented in the contexts of the Witten effect, the modular group, electric dipole moments, gauge anomalies, and non-Abelian magnetic charge. We also explore a new class of natural models which ensure the one-loop divergences in the Higgs mass are cancelled. The top-partners that cancel the top loop are new gauge bosons, and the symmetry relation that ensures the cancellation arises at an infrared fixed point. Such a cancellation mechanism can, a la Little Higgs models, push the scale of new physics that completely solves the hierarchy problem up to 5-10 TeV. When embedded in a supersymmetric model, the stop and gaugino masses provide the cutoffs for the loops, and the mechanism ensures a cancellation between the stop and gaugino mass dependence of the Higgs mass parameter.
Author:
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ISBN:
Category : Nuclear energy
Languages : en
Pages : 1288
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Book Description
Author:
Publisher:
ISBN:
Category : Particles (Nuclear physics)
Languages : en
Pages : 638
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Book Description
Author: Matteo Parisi
Publisher: Springer Nature
ISBN: 3031410696
Category : Science
Languages : en
Pages : 237
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Book Description
This book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics. It is at the forefront of the recent paradigm shift according to which physical observables emerge from geometry and combinatorics. It is the first book on the amplituhedron, which encodes the scattering amplitudes of N=4 Yang-Mills theory, a cousin of the theory of strong interactions of quarks and gluons. Amplituhedra are generalizations of polytopes inside the Grassmannian, and they build on the theory of total positivity and oriented matroids. This book unveils many new combinatorial structures of the amplituhedron and introduces a new important related object, the momentum amplituhedron. Moreover, the work pioneers the connection between amplituhedra, cluster algebras and tropical geometry. Combining extensive introductions with proofs and examples, it is a valuable resource for researchers investigating geometrical structures emerging from physics for some time to come.
Author: Antonino Zichichi
Publisher: World Scientific
ISBN: 9813208309
Category : Science
Languages : en
Pages : 503
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Book Description
The main focus of this year's Proceedings of the 53rd Course of the International School of Subnuclear Physics is the future of physics, including the new frontiers in other fields.
Author: Martin Ammon
Publisher: Cambridge University Press
ISBN: 1107010349
Category : Juvenile Nonfiction
Languages : en
Pages : 549
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Book Description
The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.
Author: Bom Soo Kim
Publisher:
ISBN:
Category :
Languages : en
Pages : 436
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Book Description
Author: Rouven Essig
Publisher: World Scientific
ISBN: 9813233354
Category : Science
Languages : en
Pages : 634
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Book Description
This volume is a compilation of lectures delivered at the TASI 2016 summer school, 'Anticipating the Next Discoveries in Particle Physics', held at the University of Colorado at Boulder in June 2016. The school focused on topics in theoretical particle physics, phenomenology, dark matter, and cosmology of interest to contemporary researchers in these fields. The lectures are accessible to graduate students in the initial stages of their research careers.
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Category : Mathematics
Languages : en
Pages : 912
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