scholarly journals TACHYON-FREE NONSUPERSYMMETRIC STRINGS ON ORBIFOLDS

2008 ◽  
Vol 23 (26) ◽  
pp. 4371-4386 ◽  
Author(s):  
ZURAB KAKUSHADZE
Keyword(s):  
Fixed Points ◽  
Gauge Theories ◽  
Phase 1 ◽  
Space Time ◽  
Discrete Torsion ◽  
Even Order

We discuss tachyon-free examples of (Type IIB on) noncompact nonsupersymmetric orbifolds. Tachyons are projected out by discrete torsion between orbifold twists, while supersymmetry is broken by a Scherk–Schwarz phase (+1/-1 when acting on space–time bosons/fermions) accompanying some even order twists. The absence of tachyons is encouraging for constructing nonsupersymmetric D3-brane gauge theories with stable infrared fixed points. The D3-brane gauge theories in our orbifold backgrounds have chiral [Formula: see text] supersymmetric spectra, but nonsupersymmetric interactions.

scholarly journals CONFORMAL HOUSE

2010 ◽  
Vol 25 (24) ◽  
pp. 4603-4621 ◽  
Author(s):  
THOMAS A. RYTTOV ◽  
FRANCESCO SANNINO
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Gauge Group ◽  
Gauge Theories ◽  
Simultaneous Presence ◽  
Consistency Check ◽  
Effective Lagrangian ◽  
Anomalous Dimensions ◽  
Mass Terms

We investigate the gauge dynamics of nonsupersymmetric SU (N) gauge theories featuring the simultaneous presence of fermionic matter transforming according to two distinct representations of the underlying gauge group. We bound the regions of flavors and colors which can yield a physical infrared fixed point. As a consistency check we recover the previously investigated bounds of the conformal windows when restricting to a single matter representation. The earlier conformal windows can be imagined to be part now of the new conformal house. We predict the nonperturbative anomalous dimensions at the infrared fixed points. We further investigate the effects of adding mass terms to the condensates on the conformal house chiral dynamics and construct the simplest instanton induced effective Lagrangian terms.

scholarly journals Uq(N) GAUGE THEORIES

1994 ◽  
Vol 09 (30) ◽  
pp. 2835-2847 ◽  
Author(s):  
LEONARDO CASTELLANI
Keyword(s):  
Quantum Groups ◽  
Differential Calculus ◽  
Gauge Theories ◽  
Space Time ◽  
Yang Mills ◽  
Commutation Relations ◽  
Transformation Rules ◽  
Field Strengths

Improving on an earlier proposal, we construct the gauge theories of the quantum groups U q(N). We find that these theories are also consistent with an ordinary (commuting) space-time. The bicovariance conditions of the quantum differential calculus are essential in our construction. The gauge potentials and the field strengths are q-commuting "fields," and satisfy q-commutation relations with the gauge parameters. The transformation rules of the potentials generalize the ordinary infinitesimal gauge variations. For particular deformations of U (N) ("minimal deformations"), the algebra of quantum gauge variations is shown to close, provided the gauge parameters satisfy appropriate q-commutations. The q-Lagrangian invariant under the U q(N) variations has the Yang–Mills form [Formula: see text], the "quantum metric" gij being a generalization of the Killing metric.

Space-time independent potentials for SU(2), SU(1,1) and E(2) gauge theories

1979 ◽  
Vol 82 (3-4) ◽  
pp. 404-406 ◽  
Author(s):  
H. Bacry ◽  
J. Nuyts
Keyword(s):  
Gauge Theories ◽  
Space Time

IR fixed points in lattice field theories

2014 ◽  
Vol 29 (25) ◽  
pp. 1445006 ◽  
Author(s):  
L. Del Debbio
Keyword(s):  
Fixed Points ◽  
Predictive Models ◽  
Gauge Theories ◽  
Quantitative Description ◽  
Electroweak Symmetry Breaking ◽  
Field Theories ◽  
Electroweak Symmetry ◽  
Lattice Field ◽  
Starting Point ◽  
Theoretical Foundations

The existence of strongly-interacting infrared (IR) fixed points in gauge theories can be studied using field theories defined on a lattice. Besides their academic interest, it has been argued that these theories could be used as a starting point to construct viable models of electroweak symmetry breaking (EWSB). A quantitative description of the large-distance dynamics is mandatory in order to develop predictive models for phenomenology. In these notes, we discuss the theoretical foundations of IR conformality, and present possible ways to study the problem using the lattice formulation of gauge theories. An overview of current results and methods is discussed.

scholarly journals EXACT RESULTS FOR THE SUPERSYMMETRIC G2 GAUGE THEORIES

1995 ◽  
Vol 10 (25) ◽  
pp. 1871-1885 ◽  
Author(s):  
IGOR PESANDO
Keyword(s):  
Fixed Points ◽  
Moduli Space ◽  
Gauge Theories ◽  
Exact Results ◽  
Vector Representation ◽  
Fundamental Vector

We study the N=1 supersymmetric G2 gauge theories with Nf flavors of quarks in the fundamental vector representation. We find dynamically generated superpotentials, smooth quantum moduli space, quantum moduli space with additional mesons, nontrivial ir fixed points.

scholarly journals Renormalization of gauge theories in curved space-time

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
Peter M. Lavrov ◽  
Ilya L. Shapiro
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Curved Space

scholarly journals Schwarzschild Space-Time in Gauge Theories of Gravity

1998 ◽  
Vol 99 (6) ◽  
pp. 971-992
Author(s):  
T. Kawai ◽  
E. Sakane ◽  
T. Tojo
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Theories Of Gravity

ZETA-FUNCTION REGULARIZATION APPROACH TO FINITE TEMPERATURE EFFECTS IN KALUZA-KLEIN SPACE-TIMES

1992 ◽  
Vol 07 (29) ◽  
pp. 2669-2683 ◽  
Author(s):  
ANDREI A. BYTSENKO ◽  
LUCIANO VANZO ◽  
SERGIO ZERBINI
Keyword(s):  
Zeta Function ◽  
Finite Temperature ◽  
Space Time ◽  
Discrete Torsion ◽  
Minkowski Space Time ◽  
Dimensional Minkowski Space ◽  
High Temperature Expansion ◽  
Kernel Approach ◽  
The One ◽  
Kaluza Klein

In the framework of heat-kernel approach to zeta-function regularization, the one-loop effective potential at finite temperature for scalar and spinor fields on Kaluza-Klein space-time of the form [Formula: see text], where MP is p-dimensional Minkowski space-time is evaluated. In particular, when the compact manifold is [Formula: see text], the Selberg trace formula associated with discrete torsion-free group Γ of the n-dimensional Lobachevsky space Hn is used. An explicit representation for the thermodynamic potential valid for arbitrary temperature is found. As a result a complete high temperature expansion is presented and the roles of zero modes and topological contributions is discussed.

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