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Renormalisation of IR divergences and holography in de Sitter (2024)
Journal Article
Bzowski, A., McFadden, P., & Skenderis, K. (2024). Renormalisation of IR divergences and holography in de Sitter. Journal of High Energy Physics, 2024(5), https://doi.org/10.1007/jhep05%282024%29053

We formulate a renormalisation procedure for IR divergences of tree-level in-in late-time de Sitter (dS) correlators. These divergences are due to the infinite volume of spacetime and are analogous to the divergences that appear in AdS dealt with by... Read More about Renormalisation of IR divergences and holography in de Sitter.

Double copy structure of CFT correlators (2019)
Journal Article
Farrow, J. A., Lipstein, A. E., & McFadden, P. (2019). Double copy structure of CFT correlators. Journal of High Energy Physics, 2019(02), Article 130. https://doi.org/10.1007/jhep02%282019%29130

We consider the momentum-space 3-point correlators of currents, stress tensors and marginal scalar operators in general odd-dimensional conformal field theories. We show that the flat space limit of these correlators is spanned by gauge and gravitati... Read More about Double copy structure of CFT correlators.

Renormalised CFT 3-point functions of scalars, currents and stress tensors (2018)
Journal Article
Bzowski, A., McFadden, P., & Skenderis, K. (2018). Renormalised CFT 3-point functions of scalars, currents and stress tensors. Journal of High Energy Physics, 2018(11), Article 159. https://doi.org/10.1007/jhep11%282018%29159

We discuss the renormalisation of mixed 3-point functions involving tensorial and scalar operators in conformal field theories of general dimension. In previous work we analysed correlators of either purely scalar or purely tensorial operators, in ea... Read More about Renormalised CFT 3-point functions of scalars, currents and stress tensors.

Renormalised 3-point functions of stress tensors and conserved currents in CFT (2018)
Journal Article
Bzowski, A., McFadden, P., & Skenderis, K. (2018). Renormalised 3-point functions of stress tensors and conserved currents in CFT. Journal of High Energy Physics, 2018(11), Article 153. https://doi.org/10.1007/jhep11%282018%29153

We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime dimensions. In... Read More about Renormalised 3-point functions of stress tensors and conserved currents in CFT.

Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies (2016)
Journal Article
Bzowski, A., McFadden, P., & Skenderis, K. (2016). Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies. Journal of High Energy Physics, 2016(03), Article 066. https://doi.org/10.1007/jhep03%282016%29066

We present a comprehensive discussion of renormalisation of 3-point functions of scalar operators in conformal field theories in general dimension. We have previously shown that conformal symmetry uniquely determines the momentum-space 3-point functi... Read More about Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies.

Evaluation of conformal integrals (2016)
Journal Article
Bzowski, A., McFadden, P., & Skenderis, K. (2016). Evaluation of conformal integrals. Journal of High Energy Physics, 2016(02), Article 068. https://doi.org/10.1007/jhep02%282016%29068

We present a comprehensive method for the evaluation of a vast class of integrals representing 3-point functions of conformal field theories in momentum space. The method leads to analytic, closed-form expressions for all scalar and tensorial 3-point... Read More about Evaluation of conformal integrals.

Soft limits in holographic cosmology (2015)
Journal Article
McFadden, P. (2015). Soft limits in holographic cosmology. Journal of High Energy Physics, 2015(02), Article 053. https://doi.org/10.1007/jhep02%282015%29053

We study the soft limits of cosmological correlators from a holographic perspective, showing how the inflationary consistency relations arise from the diffeomorphism invariance of the dual quantum field theory. Starting from the corresponding Ward id... Read More about Soft limits in holographic cosmology.

Implications of conformal invariance in momentum space (2014)
Journal Article
Bzowski, A., McFadden, P., & Skenderis, K. (2014). Implications of conformal invariance in momentum space. Journal of High Energy Physics, 2014(03), Article 111. https://doi.org/10.1007/jhep03%282014%29111

We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in general dimension and in momentum space. Our starting point is a novel and v... Read More about Implications of conformal invariance in momentum space.