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We introduce a natural pseudometric on the space of actions of d-generated groups. In this pseudometric, the zero classes correspond to the weak equivalence classes defined by Kechris, and the metric identification is compact. We achieve…

Functional Analysis · Mathematics 2025-03-18 Miklos Abert , Gabor Elek

In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutative parameter theta…

High Energy Physics - Theory · Physics 2009-11-07 Maja Buric , Voja Radovanovic

We explore a class of effective field theory models of cosmic acceleration involving a metric and a single scalar field. These models can be obtained by starting with a set of ultralight pseudo-Nambu-Goldstone bosons whose couplings to…

General Relativity and Quantum Cosmology · Physics 2012-11-16 Jolyon K. Bloomfield , Eanna E. Flanagan

A truncation of string field theory is compared with the duality invariant effective action of $D=4, N=4$ heterotic strings to cubic order. The three string vertex must satisfy a set of compatibility conditions. Any cyclic three string…

High Energy Physics - Theory · Physics 2009-10-22 Amit Giveon

We calculate the one-loop effective action of the SU(2) Yang-Mills theory for center-vortex configurations, both in 3d and 4d. We find that in both cases there are minima of the effective action, corresponding to vortices of the transverse…

High Energy Physics - Lattice · Physics 2009-11-07 Dmitri Diakonov , Martin Maul

We consider the class of four-dimensional N=2 gauged supergravities whose maximally symmetric ground states leave only one of the two supersymmetries intact. For these theories we derive the low-energy effective action below the scale of…

High Energy Physics - Theory · Physics 2010-10-22 Jan Louis , Paul Smyth , Hagen Triendl

Connection between the partition function for the 2D sigma model with boundary pertubations and the low energy effective action for massless fields from in the open string theory is discussed. In the non-abelian case with a stack of $N$…

High Energy Physics - Theory · Physics 2009-11-07 Vasily Pestun

In the context of scalar quantum field theory we introduce a class of generically nonlinear quantum-background splits for which the splitting Ward identity, encoding the single field dependence in the effective action, can be solved…

High Energy Physics - Theory · Physics 2017-10-11 Mahmoud Safari , Gian Paolo Vacca

We make a first step to extend to the supersymmetric arena the effective action method, which is used to covariantly deduce the low energy dynamics of topological defects directly from their parent field theory. By focussing on…

High Energy Physics - Theory · Physics 2016-08-15 Jordi París , Jaume Roca

SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum…

High Energy Physics - Lattice · Physics 2018-08-29 Daniel Nogradi , Lorinc Szikszai , Zoltan Varga

The in-out formalism is a systematic and powerful method for finding the effective actions in an electromagnetic field and a curved spacetime provided that the field equation has explicitly known solutions. The effective action becomes…

High Energy Physics - Theory · Physics 2017-04-05 Sang Pyo Kim

For massless $\phi^4$ theory, we explicitly compute the lowest order non-local contributions to the one-loop effective action required for the determination of the trace anomaly. Imposing exact conformal invariance of the local part of the…

High Energy Physics - Theory · Physics 2008-11-26 Krzysztof A. Meissner , Hermann Nicolai

We show that the connection between partial breaking of supersymmetry and nonlinear actions is not accidental and has to do with constraints that lead directly to nonlinear actions of the Born-Infeld type. We develop a constrained…

High Energy Physics - Theory · Physics 2009-09-17 M. Rocek , A. A. Tseytlin

We calculate a one loop effective action of SU(2) QCD in the presence of the monopole background, and find a possible connection between the resulting QCD effective action and a generalized Skyrme-Faddeev action of the non-linear sigma…

High Energy Physics - Theory · Physics 2009-11-07 Y. M. Cho , H. W. Lee , D. G. Pak

We calculate the four-dimensional low-energy effective action for the perturbations of a two-scalar domain wall model in five dimensions. Comparison of the effective action to the Nambu-Goto action reveals the presence of an additional…

High Energy Physics - Theory · Physics 2009-07-10 Y. Burnier , K. Zuleta

Chapter one is devoted to a study of fermions and bosons in two spatial dimensions in external electromagnetic fields. The effectve action is calculated by integrating out the matter fields. In chapter two, I investigate the resummation…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. O. Andersen

Based on a methodological analysis of the effective action approach certain conceptual foundations of quantum field theory are reconsidered to establish a quest for an equation for the effective action. Relying on the functional integral…

High Energy Physics - Theory · Physics 2009-09-25 K. Scharnhorst

We develop a general gauge invariant construction of the one-loop effective action for supersymmetric gauge field theories formulated in ${\cal N}=1/2$ superspace. Using manifestly covariant techniques (the background superfield method and…

High Energy Physics - Theory · Physics 2008-11-26 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

L\"uscher's recent formulation of Abelian chiral gauge theories on the lattice, in the vacuum (or perturbative) sector in infinite volume, is reinterpreted in terms of the lattice covariant regularization. The gauge invariance of the…

High Energy Physics - Lattice · Physics 2009-10-31 Hiroshi Suzuki

We elaborate on a recently proposed geometric framework for scalar effective field theories. Starting from the action, a metric can be identified that enables the construction of geometric quantities on the associated functional manifold.…

High Energy Physics - Theory · Physics 2025-04-14 Timothy Cohen , Xiaochuan Lu , Zhengkang Zhang
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