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We investigate regularization of scalar one-loop integrals in the Pauli- Villars subtraction scheme. The results depend on the number of sub- tractions, in particular the finite terms that survive after the diver- gences have been absorbed…

High Energy Physics - Phenomenology · Physics 2015-06-19 Ronald H. P. Kleiss , Tim W. Janssen

In this paper we show that both of the Green-Schwarz anomaly factorization formula for the gauge group $E_8\times E_8$ and the Ho\v{r}ava-Witten anomaly factorization formula for the gauge group $E_8$ can be derived through modular forms of…

High Energy Physics - Theory · Physics 2012-09-21 Fei Han , Kefeng Liu , Weiping Zhang

The anomaly found by Callan and Harvey is shown to be cancelled in a three-dimensional noncommutative gauge theory coupled to a fermion with a mass function depending on one spatial coordinate (domain wall mass). This evaluation has been…

High Energy Physics - Theory · Physics 2008-11-26 M. Gomes , T. Mariz , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva , E. O. Silva

We extend the Wilson renormalization group (RG) formulation to chiral gauge theories and show that local gauge symmetry can be implemented by a suitable choice of the RG flow boundary conditions. Since the space-time dimension is four,…

High Energy Physics - Theory · Physics 2009-10-30 M. Bonini , F. Vian

We study in detail the pattern of anomaly cancellation in D=6 Type IIB Z_N orientifolds, occurring through a generalized Green-Schwarz mechanism involving several RR antisymmetric tensors and scalars fields. The starting point is a direct…

High Energy Physics - Theory · Physics 2009-10-31 Claudio A. Scrucca , Marco Serone

It is shown that the one-loop coefficients of on-shell operators of standard supergravity with canonical gauge kinetic energy can be regulated by the introduction of Pauli-Villars chiral and abelian gauge multiplets, subject to a condition…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

The anomaly due to the chiral fermions on the world-volume of the SO(32) five-brane is calculated. It is shown that this contribution has the correct structure for it to be cancelled by the variation of the classical world-volume action.…

High Energy Physics - Theory · Physics 2009-10-30 J. Mourad

We consider recent claims that supersymmetry is anomalous in the presence of a R-symmetry anomaly. We revisit arguments that such an anomaly in supersymmetry can be removed and write down an explicit counterterm that accomplishes it.…

High Energy Physics - Theory · Physics 2021-03-17 Adam Bzowski , Guido Festuccia , Vladimír Procházka

The question of whether the holomorphic collinear singularities of graviton amplitudes define a consistent chiral algebra has garnered much recent attention. We analyse a version of this question for infinitesimal perturbations around the…

High Energy Physics - Theory · Physics 2023-08-31 Roland Bittleston

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger

In [7], Liu and Wang generalized the Han-Liu-Zhang cancellation formulas to the (a, b) type cancellation formulas. In this note, we prove some another (a, b) type cancellation formulas for even-dimensional Riemannian manifolds. And by…

Differential Geometry · Mathematics 2025-04-23 Siyao Liu , Yong Wang

The $N=1$, $D=10$ Supergravity--Super--Yang--Mills (SUGRA-SYM) theory is plagued by ABBJ gauge and Lorentz anomalies which are cancelled via the Green-Schwarz anomaly cancellation mechanism. Due to the fact that the ABBJ anomalies are not…

High Energy Physics - Theory · Physics 2009-10-28 A. Candiello , K. Lechner

Using a regularisation of the chiral SU(2) Yang-Mills model by an infinite number of Pauli-Villars fields the doubler free gauge invariant lattice model is constructed. Its continuum limit provides the recently proposed mechanism for…

High Energy Physics - Lattice · Physics 2009-10-30 Corneliu Sochichiu

We summarize recent work on the characterization of anomaly poles in connection with the field-theory interpretation of the Green-Schwarz mechanism of anomaly cancellation and on their effective field theories, stressing on the properties…

High Energy Physics - Phenomenology · Physics 2014-11-20 Roberta Armillis , Claudio Coriano , Luigi Delle Rose

We comment on aspects of discrete anomaly conditions focussing particularly on $R$ symmetries. We review the Green-Schwarz cancellation of discrete anomalies, providing a heuristic explanation why, in the heterotic string, only the…

High Energy Physics - Phenomenology · Physics 2014-01-14 Michael Dine , Angelo Monteux

A possibility of 5D gauge unification of $SU(2)_L \times U(1)_Y$ in $SU(3)_W$ is examined. The orbifold compactification allows fixed points where $SU(2)_L\times U(1)_Y$ representations can be assigned. We present a few possibilities which…

High Energy Physics - Theory · Physics 2010-11-19 Hyung Do Kim , Jihn E. Kim , Hyun Min Lee

Anomalous chiral conductivities in theories with global anomalies are independent of whether they are computed in a weakly coupled quantum (or thermal) field theory, hydrodynamics, or at infinite coupling from holography. While the presence…

High Energy Physics - Theory · Physics 2016-10-18 Sašo Grozdanov , Napat Poovuttikul

In a variant of chiral color with the electroweak gauge group generalized to $SU(3)_L \times U(1)$ anomaly cancellation occurs more readily than in the $SU(2)_L \times U(1)$ case. Three families are required by anomaly cancellation and the…

High Energy Physics - Phenomenology · Physics 2010-05-25 Paul H. Frampton

We study RR charge cancellation consistency conditions in string compactifications with open string sectors, by introducing D-brane probes in the configuration. We show that uncancelled charges manifest as chiral gauge anomalies in the…

High Energy Physics - Theory · Physics 2009-10-09 A. M. Uranga

We investigate the principal chiral model between two and four dimensions by means of a non perturbative Wilson-like renormalization group equation. We are thus able to follow the evolution of the effective coupling constants within this…

Statistical Mechanics · Physics 2009-10-31 M. Tissier , D. Mouhanna , B. Delamotte